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

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Question 1014326: The three lines y=x-1, y=4-2x, y=-x-5 intersect to form a triangle. Determine the coordinates of the vertices of the triangle.

Click here to see answer by Theo(13342) About Me 

Question 1014327: For what values of the coefficients a and b is the ordered pair (2,1) the solution to the linear system ax+by=-7 and 2ax-3by=1?
Click here to see answer by Theo(13342) About Me 

Question 1014328: Use the substitution method to solve each linear system.
a) x-2y=7
y=-x+1
b) x+3y=5
-2x+y=4
c) -x+3y+1=0
3x-y+1=0
d) 4x-3y=-13
-2x+y=4

Click here to see answer by ikleyn(52781) About Me 

Question 1014405: Please help me to solve this equation b=17 cm and c=23 cm
Click here to see answer by stanbon(75887) About Me 

Question 1014398: I need help graphing the inequalities. The question is y < 2x-5

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

Question 1014430: f(x)=6x+4
Click here to see answer by ikleyn(52781) About Me 

Question 1014487: y=4x
Click here to see answer by ikleyn(52781) About Me 

Question 1014454: In 1995, there were 41,973 shopping centers in a certain country. In 2005, there were 48,168.
a. Write an equation expressing the number y of shopping centers in terms of the number x of years after 1995.
Write in y=mx+b form
b. When will the number of shopping centers reach 80,000?

Click here to see answer by Theo(13342) About Me 

Question 1014618: find a formula for linear that has x-intercept 5 and y-intercept-6
Click here to see answer by Alan3354(69443) About Me 

Question 1014634: Please help me solve this system by graphing
8=3x+2y
-2y=-5x+8

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

Question 1014669: 7x-4=10
Click here to see answer by macston(5194) About Me 

Question 1014665: Explain the relationship between x and y in the table
X 1 3/2 9/4 15/4
Y 3/4 5/4 2 7/2

Click here to see answer by Theo(13342) About Me 

Question 1013483: y=(x+|X|/2)^2
Click here to see answer by Fombitz(32388) About Me 

Question 1014830: Find the slope. (7,0) (0,-8). I already did the problem as -8-0 over 0-7= -8/-7 it told me my answer was wrong on webassign.
Click here to see answer by Alan3354(69443) About Me 

Question 1014825: Which function has the greatest rate of change?

A.14x – 2y = 8

B. y = 6x – 5

C.
x y
−2 −7
−1 −2
0 3


D. A linear function that goes through point 1, 3 and point 0, negative 2

Click here to see answer by macston(5194) About Me 

Question 1014892: I'm trying to figure out how to use the equation y=mx+b to find the x and y intercepts and the slope to make coordinates and graph the line. Could you please help.
Click here to see answer by addingup(3677) About Me 

Question 1014801: Which function has the greatest rate of change? A. x y 1 −3 2 −8 3 −13 B. y = 3x – 8 C. 8x + 4y = 16 D. A linear function that goes through point 2, 0 and point 0, 2
Click here to see answer by robertb(5830) About Me 

Question 1014974: Hello thanks in advanced.
In which line is a mistake first made when solving the following system of equations by substitution?
2x - y = -4
3x + y = -9


Line 1
2x - y = -4
y = 3x - 9
Line 2
2x - (3x - 9) = -4
Line 3
2x - 3x + 9 = -4
Line 4
-1x + 9 = -4
Line 5
-1x = -13
Line 6
x = 13

Click here to see answer by rothauserc(4718) About Me 

Question 1015014: Write an equation in Point Slope form with the given scenario
Passing through (-2,2) and parallel to the line whose equation is 2x-3y=7

Click here to see answer by Fombitz(32388) About Me 
Question 1015014: Write an equation in Point Slope form with the given scenario
Passing through (-2,2) and parallel to the line whose equation is 2x-3y=7

Click here to see answer by LinnW(1048) About Me 

Question 1015021: (4.5,-1)and (4.5,2.6)
Click here to see answer by Alan3354(69443) About Me 

Question 1015096: Find the equation of a line perpendicular to y= -2 through the point (81,-77)

Click here to see answer by josgarithmetic(39617) About Me 

Question 1015099: Question No 3:A fruit vendor buys some oranges at the rate of 5 per orange. He also buys an equal number of bananas at the rate of 2 per banana. He makes a 20% profit on oranges and a 15% profit on bananas. At the end of the day, all the fruit is sold out. His total profit is 390. Find the number of oranges purchased.
Click here to see answer by solver91311(24713) About Me 

Question 1015076: how to graph -3x - 5y = 15 and show work please
Click here to see answer by josmiceli(19441) About Me 

Question 1015148: Please explain and show work.

Set A = (-3, 3) and set B = [-3, 3]
Find a) A∩B b) A∪B

Click here to see answer by Boreal(15235) About Me 

Question 1015150: If (8, −9)
is the midpoint of segment PQ and the coordinates of Q are
(−3, −12),
find the coordinates of P.

Click here to see answer by Boreal(15235) About Me 
Question 1015150: If (8, −9)
is the midpoint of segment PQ and the coordinates of Q are
(−3, −12),
find the coordinates of P.

Click here to see answer by fractalier(6550) About Me 

Question 1015163: y-2=7/2 (x-3) in slope-intercept form? I got y=7/2x - 8.5 but it's wrong. What is wrong?
Click here to see answer by Alan3354(69443) About Me 

Question 1015340: Hey there, I have been given a simultaneous equations hwk, and have been doing fine up till now, where I cannot get passed. Here follows 2 examples of the questions that I am struggling with: 3y-x=15 and 2x%2By=-2 is the first set, the 2nd is 4y-2x=22 and 3x%2B2y=7. I know that I must rearange one equation and then solve through substitution here's what I get, 3y=15-x this I need to sub in, but the other equation only has 1y not 3y, so I do not know how to get rid of this 3y to make it equal 1! Thanks for reading!
Click here to see answer by ikleyn(52781) About Me 

Question 1015392: Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation:
y=3.5x+4; A(_;5) B(10;_)
7x-5y=12; A(_;9) B(4;_)
y=−3/7x+3; A(_;6) B(9;_)
y=0.3x+1; A(_;9), B(5;_)

Click here to see answer by macston(5194) About Me 

Question 1015399: What is hypotenuse ?
Click here to see answer by ikleyn(52781) About Me 

Question 1015398: Ranjana's mother Gave her ₹245 for buying new year cards. If she got some 10 rupee cards 2/3 as many 5 rupee cards and 1/5 as many 15 rupee cards,how many of each kind did she buy?
Click here to see answer by Theo(13342) About Me 

Question 1015462: Please help me answer this question.
Which of the following equations describes a line that passes through the points (2, 1) and (0, -5)?
A) Y= (1/3)x-5
B) Y= 3x-5
C) Y= -(1/3)x-5
D) Y= -3x-5

Click here to see answer by macston(5194) About Me 

Question 1015473: Hey there, I have recently been set a simultaneous equations hwk that up till now I have found rather easy! My problem occurs at a new type of question I have not been taught about. I will provide 2 questions for reference: 2x-y%2B1=0 and 3x%2B2y%2B4=0 is the first pair. The 2nd is 3x-y%2B5=0 and 5x%2By-13=0 is the other pair. I believe that I need to +/-the single integer with no algebraic term, to make it not equal 0, and the rearrange and substitute in. However, when I do this, say with the 2nd, I get x=-9, which I know isn't right, as a friend showed me the answer. But I want to understand how I get there! As the answer is x=1. Thanks for reading and helping me out!
Click here to see answer by Alan3354(69443) About Me 

Question 1015460: Please help me answer this question.
Which of the following equations describes a line with a slope of -4 and has a y-intercept of 2?
A) Y= -4x+2
B) Y= -4x-2
C) Y= 4x+2
D) Y= 4x-2

Click here to see answer by Alan3354(69443) About Me 

Question 1015458: Please help me answer this question.
Which of the following equations describes a line that passes through the point (1, 5) and has a slope of 2?
A) Y= 2x-9
B) Y= 2x+9
C) Y= 2x+3
D) Y= 2x-3

Click here to see answer by Alan3354(69443) About Me 

Question 1015550: whats y=3.5

Click here to see answer by justasking(11) About Me 

Question 1015584: my question is how do I find the slope, y-intercept, and the x- intercept and one additional point on the line. Can you please explain your steps in algebraic vocabulary as I am trying to learn the terminology as well. Please and thanks.
I know I need to replace y with 0 but kind of lost from there.
5y=-4


Click here to see answer by Theo(13342) About Me 

Question 1015335: What would the equation be of this line if it were rotated to be half as steep and the y-intercept was kept the same? Y=-8x+7
Click here to see answer by Theo(13342) About Me 

Question 1015605: How do I solve -5(-4y+34)=-3y-9
Click here to see answer by Boreal(15235) About Me 

Question 1015611: which pair of linear equations represents lines that are parpendicular


Click here to see answer by Alan3354(69443) About Me 

Question 1015641: Find both the point-slope form and the slope-intercept form of the line with the given slope which passes through the given point. Please show work.
m = −1, P(−7,−1)

Click here to see answer by Fombitz(32388) About Me 

Question 1015665: y-5=4/3(x-2)
Click here to see answer by fractalier(6550) About Me 

Question 1015646: a. Is the point (-1, 1) on the graph of 〖(x-1)〗^2+〖(y-3)〗^2=0 ?
Show work.



b. Find the x and y intercepts for the graph of 〖(x-1)〗^2+〖(y-3)〗^2=0

Click here to see answer by macston(5194) About Me 

Question 1015643: Please show work.
Consider the two points: A: (2,3) and B: (-1,-4)
A. Plot the two points on the x-y coordinate system



B. Find the distance between A and B

C. Find the midpoint between A and B

Click here to see answer by Boreal(15235) 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, 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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, 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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