Step 1: We need to covert the current equation to slope-intercept form*.
[tex]y - \frac{1}{5}x = 7\\\\y = \frac{1}{5}x + 7[/tex]
Step 2: Now that we have our equation in slope-intercept form, we can determine the perpendicular slope of the line.
[tex]\frac{1}{5} = \frac{5}{1} = 5 = -5[/tex]
Our new slope is now -5.
*Slope-intercept form: y = mx + b
