Given the points ( -2 , -5 ) , ( 4 , -1)
The slope = The rise/the run
The rise = the difference of y - coordinates = -1 - (-5) = -1 + 5 = 4
The run = the difference of x - coordinates = 4 - ( -2 ) = 4 + 2 = 6
So, the slope =
[tex]m=\frac{rise}{run}=\frac{4}{6}=\frac{2}{3}[/tex]
The perpendicular slope = m'
[tex]m^{\prime}=\frac{-1}{m}=-\frac{3}{2}[/tex]
