Answer
point-slope form: $y+7=-5(x+2)$
slope-intercept form: $y=-5x-17$
Work Step by Step
Step 1. As the line is parallel to the line $y=-5x+4$, we have its slope $m=-5$
Step 2. As the line passes through the point $(-2,-7)$, we can write the line equation in point-slope form as $y+7=-5(x+2)$
Step 3.The above equation can be rewritten in slope-intercept form as $y=-5x-17$
