Question

A coordinate grid with one line labeled 3 y equals 2 x minus 9. The line passes through points at (0, negative 3) and (3, negative 1).
Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation?

2y = x – 4.5
y = y equals StartFraction 2 over 3 EndFraction x minus 3.x – 3
6y = 6x – 27
y = y equals StartFraction 3 over 2 EndFraction x minus 4.5.x – 4.5

Answer 1

Infinite solutions means the second equation must be the same line. From 3y = 2x − 9 divide by 3 to get y = (2/3)x − 3.

So the correct choice is y = (2/3)x − 3.