Answer
point-slope form $y-6=4(x+4)$
slope-intercept form $y=4x+22$
Work Step by Step
Step 1. As the line is perpendicular to $y=-\frac{1}{4}x+5$, we can calculate its slope as $m=-\frac{1}{-1/4}=4$
Step 2. We can write the line equation in point-slope form as $y-6=4(x+4)$
Step 3. We can rewrite the above equation in slope-intercept form as $y=4x+22$
