[tex]5y - 2x = 10[/tex] Is the original problem. If you simplify this, you will get [tex]5y = 2x + 10[/tex] Divide the equation by 5 [tex]y = \frac{2}{5}x + 2[/tex] The slope is [tex] \frac{2}{5} [/tex] While the perpendicular slope, which is the reciprocal of the slope, is [tex] - \frac{5}{2} [/tex]