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

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Question 193839: Two kids live 25 kilometers apart. They both leave their houses on bicycles at 9:00a.m. Kid 1 peddles 15 kilometers per hour, kid 2 peddles 12 kilometers per hour. What time will they meet? Please explain and show all steps.
thank you
Click here to see answer by stanbon(75887)

Question 194039: Please help. I need to find the equation of the line through (-3,1) with a slope of -1/3.
thank you so much.
Click here to see answer by jim_thompson5910(35256)

Question 194219: y=5/4+x/4. Graph the equation by plotting points.
I have no idea what to do with the x/4, and there doesn't seem to be an example of any situation similar to this in the book. The question has possible answers, all graphs, and NONE of the answers even remotely make sense.
Click here to see answer by stanbon(75887)

Question 194433: Graph the following equation and identify the y-intercept y=x+6
Click here to see answer by jim_thompson5910(35256)

Question 194448: find the slope interception line. slope 3 y intercept (0,6)
Click here to see answer by Mathtut(3670)

Question 194478: x+5y=10
Click here to see answer by jim_thompson5910(35256)

Question 194492: b) When graphed, this equation would be a line. By examining your answer to part a, what is the slope and y-intercept of this line?
Slope = ______
Y-intercept = _____
c) Using your answer from part a, find the corresponding value of y when x = 16.
Answer:

Show your work here:

Click here to see answer by Mathtut(3670)

Question 194628: Twice the differenece of a number and six is negative ten. Find the number.

Click here to see answer by stanbon(75887)

Question 194669: Solve the linear system in the next question using the Substitution Method. Describe the steps.
2x + 3y = -4
x � 2y = 5

Click here to see answer by checkley77(12844)

Question 194694: 3x+y=3
3y=1x-21
i dont know who to solve this and find the corrdinates of them to plot on a graph
the lesson is systems if liner equations
Click here to see answer by checkley77(12844)

Question 194705: Graph the Linear equation
4x-5y=60
Click here to see answer by solver91311(24713)

Question 194710: the sum of the length and the width of a rectangular region is equal to 84 feet, whereas the corresponding positive difference is 19feet. Find the area of he enclosed rectangular region
(use a 2-variable approach)
Click here to see answer by solver91311(24713)

Question 194757: Solve the linear system using the Addition Method. Describe the steps
3x � y =-1
4x + 2y =22

Click here to see answer by mersha(9)

Question 194799: i have two solution sets from two linear equations
equation one:
y=4(x)-1
The solution set is:
(-2, -9)
(0, -1)
(2, 7)
(5, 19)
Equation 2:
y=3(x)+5
The solution set is:
(-2, 9)
(0,15)
(2, 21)
(5, 30)
As you can see I have already found the solution set; my problem is that once I graph it I can not get them to cross to show the solution point. Can you please help me?
Click here to see answer by RAY100(1637)

Question 194788: What is y > 600x? Is there a way to graph this? This was one of our example problems and I still don't get it.
Click here to see answer by mersha(9)

Question 194797: Solve the following linear using the Addition Method. Describe in words the steps you will take to do that.
3x + 4y = -6
5x + 6y = -21/2
Click here to see answer by stanbon(75887)

Question 194780: The linear equation y=0.15x+0.79 represents an estimate of the average cost of gas for year x starting in 1997. The year 1997 would be represented by x = 1, for example, as it is the first year in the study. Similarly, 2005 would be year 9, or x = 9.
a) What year would be represented by x = 4?
b) What x-value represents the year 2018?
c) What is the slope (or rate of change) of this equation?
d) What is the y-intercept?
e) What does the y-intercept represent?
f) Assuming this growth trend continues, what will the price of gasoline be in the year 2018? How did you arrive at your answer?

Click here to see answer by mersha(9)

Question 194707: find the equation of the straight line which is parallel to the x-axis and whose y-intercept is -45
Click here to see answer by edjones(8007)

Question 194779: Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26 and in January 2006 the price of regular unleaded gasoline was $2.31 (Bureau of Labor Statistics, 2006). Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope (or rate of change) between the two points. Describe how you arrived at your answer. Equation to reference is c(g)= 3.03(g)
Click here to see answer by jojo14344(1513)

Question 194831: Find two consecutive integers whose sum is 67.
Which of the following equations could be used to solve the problem?
2x = 67
2x + 1 = 67
2x + 2 = 67
x2 + 1= 67

Click here to see answer by jojo14344(1513)

Question 194909: Please solve:
x+3y=9
x=3
What happens when there is no y
also problem #12, what happens when there is no x
Click here to see answer by solver91311(24713)

Question 195000: I must solve the system of equations by graphing.
x-y=-2
x+y=12
I cancelled out the y's so what was left was 2x=8- then I divide by 2 so x=4. Now how do I get y, and how do I figure out the ordered pair? This is only one number. This is where I get confused, and have a problem figuring out how to graph it.
Click here to see answer by Alan3354(69443)

Question 194938: write an equation in slope-intercept form of a line containing the point (-3,5) with a slope to -1.
Click here to see answer by checkley77(12844)

Question 195075: find the slope 10x-3y=-60
Click here to see answer by RAY100(1637)

Question 195069: find the slope -6x+5y=90
Click here to see answer by RAY100(1637)

Question 195074: find the slope 1/4x+6y=12
Click here to see answer by jojo14344(1513)

Question 195125: What is the y-intercept of the line through (1,9) and (-6,0)? Is the answer 9? Please show your work, thank you.
Click here to see answer by jojo14344(1513)

Question 195132: Is the distance between the points (-2,1) and (6,7) 45? Please show your work, thank you so much!
Click here to see answer by jim_thompson5910(35256)

Question 195139: The question is: Find an equation of the line that has the same y-intercept as the line x-3y=6 and contains the points (5,1).
I though I needed to find the y-intercept first, which I believe is to be (0,3), but I'm not sure what I doing with the (5,1). I know how to enter the points into an equation. Just not sure what the steps are to solving this question.
Click here to see answer by jim_thompson5910(35256)

Question 195147: find the slope -7y=3y=-21
Click here to see answer by Alan3354(69443)

Question 195145: find the slope 8y-2x=24
Click here to see answer by nerdybill(7384)

Question 195149: find the slope 4x+-3y=-36
Click here to see answer by Alan3354(69443)

Question 195148: find the slope 1/2y=6x=30
Click here to see answer by Alan3354(69443)

Question 195231: What is the slope intercept of (2,0), (0,3)?
Click here to see answer by solver91311(24713)

Question 195157: find the slope 1/2y+6x=30
Click here to see answer by Mathtut(3670)

Question 195274: what is the slope of a line that is parallel to the line represented by the equation 4y-5x=6
Click here to see answer by J2R2R(94)

Question 195286: determine wheather the following pairs of lines are parallel or not
y=3/4x +6
y=3/4x-2
Click here to see answer by jojo14344(1513)

Question 195273: what is the standard form of the line y=-x+3/5?
Click here to see answer by Mathtut(3670)

Question 195429: write an equation in slope-intercept form of a line conataining the point (6,-2) with the slope equal to 1/2.
Click here to see answer by vleith(2983)

Question 195435: write an equation in slope-intercept form of a line containing the point (4,-5) with a slope equal to -6.
Click here to see answer by nerdybill(7384)

Question 195439: Please form this, i'm lost, thanks
A linear equation in one variable
Click here to see answer by vleith(2983)

Question 195717: find the slope if it exists.
(-4.5,14.5) and (-3.7,4.2)

Click here to see answer by Alan3354(69443)

Question 195754: Find an equation for the line containing the point (-2,6) and perpendicular to the line 2x + y = 5.

Click here to see answer by jim_thompson5910(35256)

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