Question

What is the equation of the line

Answer 1

Answer:

It's the first choice y = (-5/2)x - 1.

Step-by-step explanation:

First find the slope of the line  5x + 2y = 12 by converting to slope-intercept form.

5x + 2y = 12

2y = -5x + 12

y = (-5/2)x + 6   so the slope is (-5/2).

The line we require had also a slope of -5/2 because it is parallel to the first line and it also passes through the point (-2, 4). So:

y - 4 = (-5/2)(x - -2)      (the point-slope form)

y - 4 = (-5/2)(x + 2)

y = (-5/2)x - 5 + 4

y = (-5/2)x - 1  (answer)