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

Tutors Answer Your Questions about Linear-equations (FREE)

Question 88524: Problems 16 and 28 ask you to graph the given inequality.
16) 4x + y ≥ 4

Click here to see answer by jim_thompson5910(35256)

Question 88523: In Exercise 8, the text provides a graph of the boundary line for the given linear inequality. Determine the correct half-plane, and complete the graph. Examples 1 and 2 on pp 638-639 provide the best illustration of what�s expected.
y > 3

Click here to see answer by jim_thompson5910(35256)

Question 88531: D�j� vu strikes again! Problem 36 follows the trend with the equation:
f(x) = 5x � 1
but complicates it by giving you the following instead of a real number (good thing Part (b) of Example 6 on p 657 does something very similar):
36) f(a � 2)

Click here to see answer by stanbon(75887)

Question 88528: Rewrite the equation given in Problem 18 to be a function of x. As it turns out, this is very much like Part (b) of Example 4 on p. 656!
18) -3x + 4y = 11

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

Question 88526: Sure, it�s a word problem, but here, you just need to write an inequality (no graphs, please!) Part (a) of Example 5 on p. 641 is the best model in the text for solving this problem. Things to think about: How much, in dollars, is a dime worth? How much is a quarter worth in dollars? Finally, compared to Example 5, note that �at least� would be a direct opposite to �at most� in deciding which inequality (�>�, �<�, �≥�, or �≤�) to use�.
38) Number problem. You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins in your drawer.

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

Question 88530: Wow, it�s just like Example 2 all over again! In Problem 30, you�re given the equation:
f(x) = 4x � 3
for which you need to solve the following:
30) f(-1)

Click here to see answer by SandySharma(35)

Question 88619: I need some help please:
Find the slope of any line perpendicular to the line through points (6, 3) and (7, 7). thank you
Click here to see answer by dolly(163)

Question 88718: A roof rises 8.5 ft over a horizontal distance of 18.02 ft. What is the slope of the roof to the nearest hundredth?
Click here to see answer by bucky(2189)

Question 88815: please help me solve 2x-5y=8 solve for y I have come up with y=6.5 but I am unsure if I am doing things correctly.
Click here to see answer by bucky(2189)

Question 88837: Find the equation of the line through (4,3) perpendicular to the line 3x + y =7
Show all work.

Click here to see answer by jim_thompson5910(35256)

Question 88864: You knew it was coming, didn�t you? Problem 22 asks you to graph the given function. Example 5 on p. 657 provides a good model to go by�.
22) f(x) = -2x � 5

Click here to see answer by jim_thompson5910(35256)

Question 88964: would you help me to solve this:
Graph y=3/4*x-4
Click here to see answer by jim_thompson5910(35256)

Question 88991: 1. F(x)=3X+1
2. F(x)=-1/3X-2
3. Slope (-3,5), M=-1
4. Slope (3,0), m=4/3
Click here to see answer by stanbon(75887)

Question 89009: Find the slope of the line passing through the points (-10,-2) and (0,-2).
Click here to see answer by jim_thompson5910(35256)

Question 89008: Graph using the intercept method: 2*x-5*y=10
Click here to see answer by jim_thompson5910(35256)

Question 89011: find the slope and the y-intercept.
y=6x+1
Click here to see answer by jim_thompson5910(35256)

Question 89012: write he equation of the line with slope -1/2 and y-intercept (0,3). Then graph the line.
Click here to see answer by jim_thompson5910(35256)

Question 89013: Find the slope of any line parallel to the line through points (18,2) and (3,3).
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 89010: Let y vary directly with x, with a constant of variation k=3. Graph the equation of variation.
Click here to see answer by stanbon(75887)

Question 89167: I need to rewrite this equation as a function of x.
Please help.
-3x + 4y = 11

I started with 4(y)=11+3(x) and then I am confused I think I am doing this incorrectly please solve this question.
Thank you
nevrstndstil@yahoo.com

Click here to see answer by stanbon(75887)

Question 89146: Find the distance to the nearest hundredth between the points (11,-6) and (-1,-2)
Please explain how this is done, I have several of these on a worksheet and I donot understand them.
Click here to see answer by jim_thompson5910(35256)

Question 89181: find the slope of any parallel to the line through points (18,2) and (3,3).

thank you
Click here to see answer by checkley75(3666)

Question 89184: Write the equation of the line with x-intercept (-8,0) and undefined slope.
Click here to see answer by stanbon(75887)

Question 89189: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of chocolate bar and the cost of a pack of gum.
Click here to see answer by stanbon(75887)

Question 89182: Write the equation of the line that passes through point (-4,-17) with a slope of 3.
Thank you for your help
Click here to see answer by jim_thompson5910(35256)

Question 89191: solve the following system of linear inequalities by graphing.
x-2y greater than 4
x less than 4
can you show me the graph too.
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 89298: Given f(x) = x2 � x + 2, find f(0).
Click here to see answer by Nate(3500)

Question 89303: HOW DO YOU Graph f(x) = 3x + 2.
Click here to see answer by Nate(3500)

Question 89297: Given f(x) = �x3 � 3x2 � x + 5, find f(�2), f(0), and f(2)
Click here to see answer by Nate(3500)

Question 89304: Given f(x) = �xTO THE POWER OF 3 � 3x TO THE POWER OF 2 � x + 5, find f(�2), f(0), and f(2)

Given f(x) = xTO THE POWER OF 2 � x + 2, find f(0).

Click here to see answer by jim_thompson5910(35256)

Question 89302: Solve the system by substitution. x + y = 12 y = 2x
Solve the system by addition or substitution. 3x � 4y = 8 6x � 2y = 10

Click here to see answer by jim_thompson5910(35256)

Question 89301: Solve the system by addition. 5x � 3y = 5 x � 5y = 1

Solve the system by addition. 3x + 8y = 7 6x � 4y = �1

Click here to see answer by jim_thompson5910(35256)

Question 89300: HOW DO YOU Graph the inequality. y < �3
Click here to see answer by THANApHD(104)

Question 89331: Business and Finance: Linda Williams has just begun a nursery business and seeks your advice. She has limited funds to spend and wants to stock two kinds of fruit-bearing plants. She lives in the northeastern part of Texas and thinks that blueberry bushes and peach trees would sell well there. Linda can buy blueberry bushes from a supplier for $2.50 each and young peach trees for $5.50 each. She wants to know what combination she should buy and keep her outlay to $500 or less. Write and inequality and draw a graph to depict what combinations of blueberry bushes and peach trees she can buy for the amount of money she has. Explain the graph and her options.
Click here to see answer by stanbon(75887)

Question 89285: 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 = 22

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

Question 89223: Determine whether each ordered pair is a solution of the given equation.
y=8-4x (8,0), (16,-2), (3,-4)
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 89366: Find the equation of this line in slope-intercept form.
y = 3x + 2. can anyone explain an easier way to find the slope intercept?
Click here to see answer by stanbon(75887)

Question 89398: y= 3 - 5/4x
graph this equation.what is the slope and y-intercept of the line?

then find the corresponding value of y when x = 16 by using the answer y= 3- 5/4x.
lost in translation? help would be soooooooooooo grateful
Click here to see answer by checkley75(3666)

Question 89286: HOW DO YOU GRAPH
2y-y=4
2y-y=6
and
x-2y=8
3x-2y=12
Click here to see answer by checkley75(3666)

Question 89406: In England, sons of members of the Labor Party vote Labor with probability 0.5, vote Conservative with probability 0.4, and vote Liberal with probability 0.1. The probabilities for sons of Conservative Party members are 0.7 Conservative, 0.2 Labor, and 0.1 Liberal. For the sons of Liberals the probabilities are 0.2 Conservative, 0.4 Labor, and 0.4 Liberal. Given these statistics, what is the probability that the grandson of a Liberal will vote Labor?
Click here to see answer by stanbon(75887)

Question 89436: The difference of two numbers is 35. The second is 1 less than 3 times the first. What are the two numbers?
Click here to see answer by scott8148(6628)

Question 89483: Solve without using a calculator. Express your answer in simplified radical form.
(x � 2)2 = 3

Click here to see answer by funmath(2933)

Question 89484: x^2 + 4 = 40
Click here to see answer by sofiyacherni(99)

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