The tables of ordered pairs represent some points on the graphs of lines q and v . Line q, x, y, -9, 0, -3, 18, 2, 33, Line v, x, y, -4, 10, 0, 8, 10, 3, Which system of equations is represented by lines q and v ? Choose all that apply.
Answers
Given : ordered pairs represent some points on the graphs of lines q and v
Line q (x , y) ( - 9 , 0) , (-3 , 18) , ( 2 , 33)
Line v (x , y) ( - 4 , 10) , (0 , 8) , ( 10 , 3)
To Find : system of equations
Solution:
Line q (x , y) ( - 9 , 0) , (-3 , 18) , ( 2 , 33)
Slope = (33 - 18)/(2 -(-3)) = 15/5 = 3
y - 0 = 3(x - (-9))
=> y = 3x + 27
=> 3x - y + 27 = 0
Line v (x , y) ( - 4 , 10) , (0 , 8) , ( 10 , 3)
Slope = ( 3 - 8)/(10 - 0)
= -5/10
= -1/2
y - 8 = (-1/2)(x - 0)
=> 2y - 16 = -x
=> x + 2y - 16 = 0
3x - y + 27 = 0 and x + 2y - 16 = 0
system of equations is represented by lines q and v
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