Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 110048: Solve the following systems by graphing.
2x – y = 4
2x – y = 6

Thank you for your help!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 110001: find the slope of the lne that passes through the points (-2, 0) and (-5, -1). how do i do this and graph it
Click here to see answer by elima(1433) About Me 
Question 110001: find the slope of the lne that passes through the points (-2, 0) and (-5, -1). how do i do this and graph it
Click here to see answer by gdtdga7x(1) About Me 

Question 110115: You know, from actual driving data, that your car gets 17 miles per gallon when your average speed is 45 M.P.H., but only 14 M.P.G. when your average speed is 45 M.P.H. A friend tells you that mileage g is almost linearly related to average speed V when V is between 30 M.P.H and 100 M.P.H. That is, for these speeds, g can be approximated as a linear function of V.
Investigations
1. Write the two ordered pairs defined by the given data. Use speed as input and gas mileage as output
2. Find the slope of the line defined by the linear relationship. Show work.

Click here to see answer by stanbon(75887) About Me 

Question 110225: Solve the following system by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.
10x + 2y = 7
y = -5x + 3

Click here to see answer by MathLover1(20849) About Me 

Question 110227: In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?
I need to show the equation, thanks!

Click here to see answer by stanbon(75887) About Me 
Question 110227: In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?
I need to show the equation, thanks!

Click here to see answer by MathLover1(20849) About Me 

Question 110240: Solve by substitution then graph, thank you.
4x – 12y = 5
-x + 3y = -1

Click here to see answer by solver91311(24713) About Me 

Question 110252: Solve for x
4(x-1)+2=3x+8-2x

Click here to see answer by jim_thompson5910(35256) About Me 

Question 110247: Solve by graph.
3x – 6y = 9
x – 2y = 3

Click here to see answer by jim_thompson5910(35256) About Me 

Question 110246: Solve by graphing, thank you!
x – 2y = 8
3x – 2y = 12

Click here to see answer by jim_thompson5910(35256) About Me 

Question 110237: Solve by substitution.
8x – 4y = 16
y = 2x – 4

Click here to see answer by jim_thompson5910(35256) About Me 

Question 110284: write the equation of the lne which has y-intercept (0,5) and is perpendicular to line with equation Y=-3x+1
Click here to see answer by bucky(2189) About Me 

Question 110298: how would you do the problem slope:3/2, y intercept:-4
Click here to see answer by praseenakos@yahoo.com(507) About Me 

Question 110315: Find values for m and b in the following system so that the solution to the system is (-3, 4).

5x + 7y = b
mx + y = 2
Thank you.



Click here to see answer by solver91311(24713) About Me 

Question 110314: Find values for m and b in the following system so that the solution to the system
is (1, 2).
Mx + 3y= 8
-3x+ 4y+ b
Thank you.

Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 110338: what is the slope and y-intercept of these equation? y=7x+1, y=-3x-4, y=-4, y-2x=3.2, y=x+3 ova 4, 2y=6x+16
Click here to see answer by MathLover1(20849) About Me 

Question 110280: solve and graph the solution set.
3(x-4)>7x-9

Click here to see answer by jim_thompson5910(35256) About Me 

Question 110386: -3-4(t-5)=-2(t+3)+11
Click here to see answer by jim_thompson5910(35256) About Me 

Question 110387: -3-4(t-5)=-2(t+3)+11
Click here to see answer by jim_thompson5910(35256) About Me 

Question 110439: I need your help with this problem: Determine a relationship between the x and y values. Write an equation. If X is 1,2,3,4. And Y is -6,-5,-4,and -3. If you do reply to me I greatly appriciate it for I have a test tomorro and I don't understand this question. I hope I wrote the question to where you can understand it easily. Thanks again for all your help!
Click here to see answer by checkley71(8403) About Me 
Question 110439: I need your help with this problem: Determine a relationship between the x and y values. Write an equation. If X is 1,2,3,4. And Y is -6,-5,-4,and -3. If you do reply to me I greatly appriciate it for I have a test tomorro and I don't understand this question. I hope I wrote the question to where you can understand it easily. Thanks again for all your help!
Click here to see answer by edjones(8007) About Me 

Question 110441: hi i do not get how my teacher wrote out this problem.Can you help me and show me step by step how to get the answer to this problem.Thank you
the problem is
y+4=(2/3)(x+12)
Than you very MUCH

Click here to see answer by solver91311(24713) About Me 

Question 110549: Solve each system of linear equations by using substitution.
{3/5x-2y=5} All in one question
{x=4/5y+2}

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Question 110463: Can you please show me how to do y=1/2x
Click here to see answer by HyperBrain(694) About Me 

Question 110596: What is the standard form of the slope intercept equation y-2=09x+4?

Click here to see answer by stanbon(75887) About Me 

Question 110608: how do you find range and domain?
Click here to see answer by stanbon(75887) About Me 

Question 110619: Write the equation of the line with given slope and y-intercept.
Then graph each line using the slope and y-intercept.
Slope: -2; y-intercept: (0, 4)
Thanks
JMS

Click here to see answer by KATERIYA(1) About Me 
Question 110619: Write the equation of the line with given slope and y-intercept.
Then graph each line using the slope and y-intercept.
Slope: -2; y-intercept: (0, 4)
Thanks
JMS

Click here to see answer by bucky(2189) About Me 

Question 110632: I have a graph. but i cant put it on here. don't know how. here is what the graph explains.
the following graph shows Bob's salary from the year 2002 to the year 2005. He was hired in the year 2002: therefore t =0 represents the year 2002.
here is some questions for this graph.
1.list the coordinates on the graph in x,y form.
2.find the slope
3.find the equation of this line in slope- intercept form
4 if bob's salary trend continued, what would his salary be in the year 2008?

Click here to see answer by solver91311(24713) About Me 

Question 110672: write the equation of the line with the slope-2 and y-intercept of (0,0) then graph the line. I am really stuck on this and could use some help figuring out how to do this problem. Please help me
Click here to see answer by jim_thompson5910(35256) About Me 

Question 110678: i was asked to find the x intercept and y intercept for the following equation and then graph it...
y=4x
after working it out, i came up with x intercept=0 and y intercept=0..i dont know what to do after that...how would i be able to graph this problem??

Click here to see answer by stanbon(75887) About Me 

Question 110631: how do i plot the following points on a rectangular coordinate system
(-3,-2)
(-1,0)
(1,2)
if you were to connect these points with a line, where would the y-intercept be located? give answer in (x,y) form.

Click here to see answer by stanbon(75887) About Me 

Question 110584: (2,7) and (4,4)
Click here to see answer by elima(1433) About Me 

Question 110724: Find the slope of the line that contains the points (-4,1) and (2,2).
Thanks

Click here to see answer by jim_thompson5910(35256) About Me 

Question 110725: Find the slope and y- intercept for the graph of 4x-y=3
Click here to see answer by jim_thompson5910(35256) About Me 

Question 110732: Find the equation of the line containing the points (3,4) and (1,-3)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 110718: Need help with this problem please.
Find the equation of the line that contains the point (-2,-1) and has slope -1/2.
I tried to work the problem but haven't gotten the correct answer.
m=-1/2
(y1,x1)= (-2,-1)
y-y1=m(x-x1)
y-(-1)=-1/2(x-(-2))
y-(-1)=-1/2x+(-3)
y=-1/2x+2

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 110730: Determine whether the line through p1 (1,-2) and p2(4,-3) is parallel to the line through q1 (4,3) and q2 (7,4)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 110616: Please help.
Find the slope and y-intercept of the line represented by the following equations.
2x - 3y = 6
THANKS
JMS

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 110733: Find the equation of the line that contains the point (1,-2) and is perpendicular to the line y=-3/4x+2
Click here to see answer by stanbon(75887) About Me 

Question 110728: The cost of a rental car is $24 per day plus 10 cents per mile. Write a linear equation to describe the cost of renting a car for one day in terms of the number of miles driven.
Click here to see answer by stanbon(75887) About Me 

Question 110717: Find the x- and y- intercepts: 4x-2y=12

This is how I worked the problem but don't think I did something right.
4x-2y=12 4x-2y=12
4x-2(0)=12 4(0)-2y=12
4x=12 2y=12
x=2 y=-4
(2,0) (0,-4)

Click here to see answer by stanbon(75887) About Me 

Question 110758: The equation y = 10x - 50 describes the amount of money a class of students might earn from candy bar sales. What are the slope and y-intercept of this line?
Thank you.

Click here to see answer by stanbon(75887) About Me 

Question 110757: Write the equation of the line passing through (3, -3) and (3,-6)
Which is the ordered pairs (0,0) (-2, 10), (-1,-5), (-3,9) are solutions for the equation y=5x?

Click here to see answer by jim_thompson5910(35256) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045