Answer
point-slope form: $y-2=-3(x+4)$
slope-intercept form: $y=-3x-10$
Work Step by Step
Step 1. As the line is perpendicular to the line $y=\frac{1}{3}x+7$, we have its slope $m=-3$
Step 2. As the line passes through the point $(-4,2)$, we can write the line equation in point-slope form as $y-2=-3(x+4)$
Step 3.The above equation can be rewritten in slope-intercept form as $y=-3x-10$
