Question

On which of the following lines does the point (–3, –1) lie? y = −4x − 6 y = 3x + 9 y = −3x − 10 y = 5x − 1

Answer 1

Answer: $y = -3x - 10$

Step-by-step explanation:

You can substitute the value "-3" for x and "-1" for y in each of the equations given. Whichever equation is correct when simplified is the line that the point (-3, -1) lies on:

$-1 = -4(-3)-6\\\\-1=3(-3)+9\\\\-1=-3(-3)-10\\\\-1=5(-3)-1$

Simplifying the right side of each equation:

First equation: -1 = 6

Second equation: -1 = 0

Third equation: -1 = -1

Fourth equation: -1 = -16

The correct answer is "$y = -3x - 10$".