Answer
point-slope form: $y+3=-5(x-2)$
slope-intercept form: $y=-5x+7$
Work Step by Step
Step 1. As the line is perpendicular to the line $y=\frac{1}{5}x+6$, we have its slope $m=-5$
Step 2. As the line passes through the point $(2,-3)$, we can write the line equation in point-slope form as $y+3=-5(x-2)$
Step 3.The above equation can be rewritten in slope-intercept form as $y=-5x+7$
