Answer
point-slope form: $y+10=-4(x+8)$
slope-intercept form: $y=-4x-42$
Work Step by Step
Step 1. As the line is parallel to the line $y=-4x+3$, thus, we have its slope $m=-4$
Step 2. As the line passes through the point $(-8,-10)$, we can write the line equation in point-slope form as $y+10=-4(x+8)$
Step 3.The above equation can be rewritten in slope-intercept form as $y=-4x-42$
