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

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Question 1147065: How would I graph y - x = -1?
Click here to see answer by solver91311(24713)

Question 1147099: Kate’s father is 50 years old and Kate is 24 years old now. How many years ago was Kate’s father three times as old as her?

Click here to see answer by ikleyn(52781)

Question 1147154: Help with the graphical method

Click here to see answer by Alan3354(69443)

Question 1147207: Can you please determine the linear equation in standard form that goes through points (12,-4) and (6,-2)
Click here to see answer by josmiceli(19441)

Question 1147222: Rita invested her savings in two investment funds. The amount she invested in Fund A was 3 times as much as the amount she invested in Fund B. Fund A returned a 3% profit and Fund B returned a 6% profit. How much did she invest in Fund B, if the total profit from the two funds together was $1350?
Click here to see answer by ikleyn(52781)

Question 1147224: 3.[4pts] A cyclist traveled 12 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 75 kilometers, the skater had gone 45 kilometers. Find the speed of the skater.
Click here to see answer by ikleyn(52781)

Question 1147223: In 2009 the number of vehicle sales in the United States was 10,602 thousand and in 2013 it was 15,884 thousand.
a.[3 pts] Determine the average rate of change (slope) from 2009 to 2013.
b.[3 pts] If X is the number of years since 2009 and f(X) is the number of vehicles sold, find the equation of the line through these two points.
c.[2pts] Assuming f(X) is a linear function, use the equation to predict the number of vehicles sold in 2016.
Click here to see answer by josmiceli(19441)

Question 1147352: Find two numbers a and b such that the following system of linear equations is inconsistent.
ax-5y=b
-4x+2y=3
Click here to see answer by josmiceli(19441)

Question 1147374: In the lab, Brian has two solutions that contain alcohol and is mixing them with each other. He uses 3 times as much Solution A as Solution B. Solution A is 20% alcohol and Solution B is 17% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 154 milliliters of pure alcohol?
Click here to see answer by josgarithmetic(39617)

Question 1147378: Kevin invested his savings in two investment funds. The $2000 that he invested in Fund A returned a 3% profit. The amount that he invested in Fund B returned a 10% profit. How much did he invest in Fund B, if both funds together returned a 8% profit?

Click here to see answer by ikleyn(52781)

Question 1147400: The number of legislators has increased approximately linearly from 1139 positions in 2003 to 1265 positions in 2010. Let n be the number of legislators at t years since 2000. Find an equation of a linear model to describe the data.

Click here to see answer by Boreal(15235)

Question 1147333: The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 30 minutes of calls is $16.10, and the remaining credit after 59 minutes of calls is $12.33. What is the remaining credit after 79 minutes of calls?
Click here to see answer by josgarithmetic(39617)

Question 1147486: {y=-5x-2
{y=-4x-2
Click here to see answer by greenestamps(13200)

Question 1147486: {y=-5x-2
{y=-4x-2
Click here to see answer by josgarithmetic(39617)

Question 1147505: What is the solution to this system of linear equations?
x + y = 4
x − y = 6
(4, 6)
(6, 4)
(5, −1)
(−1, 5)
Click here to see answer by josgarithmetic(39617)

Question 1147510: I am confused on how to make the problem on this question. Write the equation of a line with the given information:
slope (m) = 2
y-intercept = -5
Click here to see answer by josgarithmetic(39617)

Question 1147528: Create a scatter plot on paper - it's best to do this on graph paper - using the data relating year and world record time on the 100 meter dash. Let the horizontal axis represent years, t, where t is the number of years after 1900. The vertical axis represents R, the time in seconds of the record 100 meter dash. Use a straight edge to draw the line you think is the best linear model for this data. Write the equation of that line here.
Click here to see answer by Alan3354(69443)

Question 1147536: a secret agent, being a mathematician, transmitted an important 2-digit locker number in the following manner: " the difference in the digits is four. The sum of the number and the number formed by reversing the digits is 13" find the locker number
Click here to see answer by greenestamps(13200)

Question 1147542: Two factory plants r making tv panels...plant A produced 9000 panels...7% from plant A were defective...2% from plant B were defective...how many panels did plant B produce if the overall percentage of defective panels from both plants was 5%...this is how I set it up.....
9000 panels x 7% defective = 630 defective from plant A...X is the number of panels from plant B...2% defective .02X........so, 630+0.02X / 9000+X= 0.05.....630 +0.02X = 0.05(9000 + X)...630+0.02X= 0.05(9000) + 0.05 (X)....630 + 0.02X = 450+0.05X....630 + 0.02X - 0.05X = 450.....0.02X - 0.05X= 450 - 630.....0.03X = -180 ????
Click here to see answer by greenestamps(13200)

Question 1147631: yplus2equals
Click here to see answer by ikleyn(52781)

Question 1147639: what is the minimum value of the objective function R=12x+15y

Click here to see answer by greenestamps(13200)

Question 1147743: A washer and dryer cost $911 combined. The washer cost $61 more than the dryer. What the cost of the dryer
Click here to see answer by ikleyn(52781)

Question 1147756: Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.
-x-9y=-18
Click here to see answer by josgarithmetic(39617)

Question 1147781: Two points on the graph of the linear function f are (0,−4) and (2,2). Write a function g whose graph is a reflection in the x-axis of the graph of f.
Click here to see answer by josmiceli(19441)

Question 1147809: -4x+8y=-16

Click here to see answer by greenestamps(13200)

Question 1147818: Write an equation of the parabola that passes through the point (−10,48) and has x-intercepts −8 and 50.
Click here to see answer by josgarithmetic(39617)

Question 1147818: Write an equation of the parabola that passes through the point (−10,48) and has x-intercepts −8 and 50.
Click here to see answer by ikleyn(52781)

Question 1147819: The graph of g is a vertical translation of the graph of the parent linear function. A right triangle with an area of 2 square units is formed by the x-axis, the y-axis, and the graph of g. Write an equation for g.
Click here to see answer by ikleyn(52781)

Question 1147838: y=−0.666667x−5

Click here to see answer by Alan3354(69443)

Question 1147817: Let the graph of g be a translation of 2 units down followed by a reflection about the x-axis of the graph of f(x)=6x. Write a rule for g.
Click here to see answer by josmiceli(19441)

Question 1147852: Write an equation of the parabola that passes through the point (−10,48) and has x-intercepts −8 and 50. Then find the average rate of change from x=−8 to x=−5
Click here to see answer by ikleyn(52781)

Question 1147984: Write a linear function f with f(0)=2 and f(2)=4
Click here to see answer by josgarithmetic(39617)

Question 1147988: 5x =-3y-2
Slope:
Y-Intercept:

Click here to see answer by rothauserc(4718)

Question 1148022: What is the slope of a line perpendicular to a line with slope -1 ?
Click here to see answer by Alan3354(69443)

Question 1148055: Find the maximum and minimum value of z = x+3y subject to the constraints
-x + 3y <= 6, x - 3y >= 6, and x+ y >= 6
and also draw a graph
Click here to see answer by ikleyn(52781)

Question 1148114: The equations x3 is 20 is one of set of related equations involving four variables x1,x2,x3,x4
(a)=what values satisfy the equation when xi=4, x2=2,x4=15?
(b)=what values satisfy the equation when x3=10?

Click here to see answer by greenestamps(13200)

Question 1148189: 5^x+5^y=150, x-y=1, Solve Simultaneously
Click here to see answer by greenestamps(13200)

Question 1148228: The average profit/loss of a company (in thousands of dollars) was documented for 30 months. The 4th month showed a loss of $3000, however the 20th month showed a profit of $5000. Assuming the profit/loss is linear, write the equation of the line, in slope-intercept form, that represents the profit/loss for each month x. Use this result to predict the profit/loss after 60 months.
Hint: Use the ordered pairs (4,-3) (20,5).
Click here to see answer by josmiceli(19441)

Question 1148227: A new high school math project is being tested in the state. In the first year (year 1), there are 671 students involved. By the end of the third year (year 3), 12487 students are expected to be involved. Assuming the increase is linear, write the equation of the line, in slope-intercept form, representing the number of students participating in this project for each year x. Use this result to predict the number of students involved at the end of 5 years.
Hint: Use the ordered pairs (1, 671) and (3, 12487).
Click here to see answer by Theo(13342)

Question 1148254: The lines 3x+2y-1=0 , 4x+5y=0 intersect at M find the coordinates of M . Equation of the line through M with 3/4 as it's slope
Click here to see answer by Alan3354(69443)

Question 1148256: The lines 3x+2y-1=0 , 4x+5y+3=0 intersect at M find the coordinates of M . Equation of the line through M with 3/4 as it's slope
Click here to see answer by Alan3354(69443)

Question 1148253: Find an equation of the line in the standard form that passes through the point P (-1,-2) and parallel to line 2x+5y=1 and perpendicular to the line y = 2x-4
Click here to see answer by greenestamps(13200)

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, 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