Question

Identify the equation in slope-intercept form for the line parallel to y=-3x+7 that passes through (2,-4).

Answer 1

D. 1 the parallel line must have the same slope as the original line. 2 if the slope is -3 and it passes through 2,-4 then it must pass through 0,2 aswell. this is the y intercept. therefore, y=-3x + 2.

Answer 2

D. y = -3x + 2

Explanation:

The problem says the line is parallel to the one following the equation y = -3x + 7, so the equation we're looking for has to be the same format (y = -3x + something) in order to be parallel to the one in the problem.

That leaves answers A and D.

We know that the line we're looking for passes through the point (2,-4)... thus if x = 2, y = -4.

If you try x = 2 in equation A, you'll get +4. we're looking for -4.

If you try x = 2 in equation D, you get -4, what we are looking for.