Find the slope perpendicular to the given points(6, -6) & (-1,-3)7/30-7/33/7-3/7

Answer:perpendicular slope = [tex]\frac{7}{3}[/tex]Step-by-step explanation:Calculate the slope m using the slope formulam = (y₂ - y₁ ) / (x₂ - x₁ )with (x₁, y₁ ) = (6, - 6) and (x₂, y₂ ) = (- 1, - 3)m = [tex]\frac{-3+6}{-1-6}[/tex] = [tex]\frac{3}{-7}[/tex] = - [tex]\frac{3}{7}[/tex]Given slope m then the slope of a perpendicular line is[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{7} }[/tex] = [tex]\frac{7}{3}[/tex]