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)
