THe slope of the graph which is given is m=4/5. The slope of the line perpendicular to this line will have a slope
[tex]m_{0} = \frac{-1}{m} [/tex]
[tex] m_{0} = -1 / \frac{4}{5} = - \frac{5}{4} [/tex]
Use the point-slope equation to write an equation of the line perpendicular to given:
[tex]y - y_{0} = m(x- x_{0} ) [/tex]
We have a point (-4, 4). Plug in instead of [tex] x_{0} , y_{0} [/tex]:
[tex]y - 4 = - \frac{5}{4} (x+4) \\ y = - \frac{5}{4} x -1[/tex]
This is the final equation.
