1. Which of the following lines is parallel to the line y = −
3
2
x + 1 and contains the point (4,-2)?

y=-32+126

Step-by-step explanation:

So the equation you've given me is: y=-32x+1 which is already in slope intercept form.

The slope remains the same so let's look at the y-intercept (b) which is not going to come into solving it.

Plug in the points into the equation to become: -2=-32(4)+b

Solve the equation to get 126=b

Plug it into your new equation: y=-32x+126