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

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Question 111315: In 1999, boys' soccer had 142 members and has increased 12 students per year since 1990. Girls' soccer had 120 members and has increased 8 students per year since 1990. Football has 92 members and has decreased by 3 students per year since 1990

1. Write a linear equation for each sport that models the number of students y in terms of x, the number of years since 1990



2. Graph each equation in the same coordinate plane, labeling each line.



3. Estimate the number of students in each sport in 2001



4. In the year 2001 the budget is $250,000. Estimate how much funding each sport would recieve in 2001

Click here to see answer by josmiceli(9817) About Me 

Question 111369: Please Help.
Find the slope of any line perpendicular to the line through points
(0, 5) and (-3, -4)
Thanks
JMS

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111362: Please help.
Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept.
Slope: 5; y-intercept (0, -2)
Thanks
JMS

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111348: Write the equation of the line that passes through point (6, 4) with a slope of 2.
Click here to see answer by jim_thompson5910(28717) About Me 

Question 111350: Given f(x) = 3x + 3, find f(a + 1).
Thank you very much!

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111333: The length of a rectangle is 1 in. more than twice its width. If the perimeter of the rectangle is 50 in., find the width of the rectangle. Solve using an algebraic equation.
Thank you very much!

Click here to see answer by scott8148(6628) About Me 

Question 111307: I would appreciate your help in solving this nonlinear equation:
Problem: (x+2)^2+(y-2)^2=13 (1)
( 2x+y=6 (2)

Thank you greatly for all your help.

Click here to see answer by scott8148(6628) About Me 

Question 111291:
Find the slope and y-intercept.
x = –9

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111336: Determine which two equations represent parallel lines.
a) y = –6x + 3
b) y = 6x + 3
c) y = x + 3
d) y = –6x + 5
Thank you very much!

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111340: Solve. –9x + 5 + 7x = –2x + 5
Thank you very much!

Click here to see answer by Darly(1) About Me 

Question 111385: (x-4)/2 -1/5 = (7x +1)/20
Click here to see answer by BrittanyM(80) About Me 

Question 111349: Are the following lines parallel, perpendicular, or neither?
L1 with equation x – 2y = 10
L2 with equation 2x + y = 2

Click here to see answer by HyperBrain(694) About Me 

Question 111341: Solve. 10x – 1/4 = 9x + 3/8
Click here to see answer by HyperBrain(694) About Me 

Question 111338: Find the slope and the y-intercept.
y = 3x + 6
Thank you very much!

Click here to see answer by HyperBrain(694) About Me 

Question 111432: Find the slope of the line passing through the points (5, 11) and (1, 3).
Click here to see answer by jim_thompson5910(28717) About Me 

Question 111433: Find the slope and y-intercept.
–2x + 3y = 21

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111444: Use point-slope form to determine the equation of hte line passing through the two given points. Then write the equation in slope-intercept form.
(4,3), (2,-9).

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111519: how would you write 3x-6y=9 in slope-intercept form.?
how would you graph it.?

Click here to see answer by checkley71(8403) About Me 
Question 111519: how would you write 3x-6y=9 in slope-intercept form.?
how would you graph it.?

Click here to see answer by solver91311(17077) About Me 

Question 111443: Tell whether the line that passes through the two given points is parallel or perpendicular or neither to a line with a slope of -2.
(5,3),(7,-1)
(5,3),(7,-3)
(5,3),(7,4)

Click here to see answer by elima(1433) About Me 

Question 111445: Determine the equation of the line that passes through the point (4,3) and is parallel to the line 3y - 15x = 2. Write answer in slope-intercept form.
Click here to see answer by elima(1433) About Me 

Question 111442: True or False
The points (6,6), (0,5) and (6,4) lie on the following line:
y= 1/6x +5

Click here to see answer by elima(1433) About Me 

Question 111552: I keep trying to put the coordinates (5,-8) and (0,2) in slope-intercept form, point-slope form, and standard form. I need help with Standard Form especially. Please help me.
Click here to see answer by solver91311(17077) About Me 

Question 111575: Please help
Write the equation of the line passing through each of the given pairs of points.
(-3, 3) and (4, -2)
Write your results in slope-intercept form, where possible.
Thanks
JMS

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111586: I am going back to school after 14 + years of being out, seems as if I have lost most of my knowledge about algebra I am in need of some help solving this problem below
Graph y=5x - 2
(graphing linear equations)

Click here to see answer by stanbon(57969) About Me 

Question 111499: Determine how many real roots the equation has (x-4)^2=0
I know there are 1, which means when i put it in b^2-4ac it equals 0, but i dont know how to get it into that form.

Click here to see answer by josmiceli(9817) About Me 

Question 111622: 7a-10b+9a-8b
Click here to see answer by MathLover1(6812) About Me 

Question 111640: This is a word problem from section 7.1, page. 614.
Driving down a mountain, Tom find that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
Please help!!

Click here to see answer by checkley71(8403) About Me 

Question 111620: 9A + 6B + 4A - 7B =

Click here to see answer by checkley71(8403) About Me 

Question 111644: HI!" please help me with this


A game is played on a cartesian coordinate plane. On each move, a player who is at a point (x,y)moves to a point (-y,3x). After two moves a player who started at (1, -2) will be at

a) (2,3)
b) (-3,6)
c) (6,-3)
d) (3,-6)
e) (1,6)
Thanks for any help on my way.

Click here to see answer by Edwin McCravy(8999) About Me 

Question 111449: Solve the following system of equations by graphing:
{-3x = 5-5y
{-3x + 5y = -3

Click here to see answer by elima(1433) About Me 

Question 111711: A line passing through (–6, –5) and (–1, y) is perpendicular to a line with slope . Find the value of y.
Click here to see answer by Edwin McCravy(8999) About Me 

Question 111712: A line passing through (–6, –5) and (–1, y) is perpendicular to a line with slope -5/13 . Find the value of y.
Click here to see answer by checkley71(8403) About Me 

Question 111746: determine whether (2,-4) is a solution of 4q-3p ==22
Click here to see answer by jim_thompson5910(28717) About Me 

Question 111780: Solve. 4(x + 2) – 3x = x – 6
Thank you.

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111778: Graph f(x) = –2x + 4.
Thank you.

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111779: Solve the system by the substitution method.
x – y = –3
x – y = 4
Thank you.

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111776: Rewrite the equation –8x – 5y = –45 as a function of x.
Thank you.

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111775: Solve the system by graphing.
3x – y = 1
3x – y = 2
Thank you.

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111771: Find the slope of the line passing through the points (10, –4) and (–4, –4).
Thank you.

Click here to see answer by jim_thompson5910(28717) About Me 

Question 111867: Please help.
Find the slope of the line passing through the points (3, 5) and (3, -5)
Thanks
JMS

Click here to see answer by checkley71(8403) About Me 

Question 111772: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs. Solve using algebraic equations.
Thank you.

Click here to see answer by elima(1433) About Me 

Question 111773: The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 52 in., find the width of the rectangle. Solve using an algebraic equation.
Thank you.

Click here to see answer by elima(1433) About Me 

Question 111907: I need help with this problem. It is an writing assignment.
Write an equation of the line passing through (5,0) and parallel to the line y= 5x-2.
Thanking you in advance

Click here to see answer by solver91311(17077) 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