Answer:
[tex]y=\frac{-1}{2}x +3[/tex]
Step-by-step explanation:
Take any two points from the graph
(2 , 0) ; (0 , -4)
Slope = [tex]\frac{-4-0}{0-2}\\\\[/tex]
[tex]= \frac{-4}{-2}\\\\= 2[/tex]
Slope of the perpendicular line = -1/m = -1/2 = -1/2
m = -1/2 ; (-4 , 5)
y - y1 = m(x - x1)
[tex]y - 5 = \frac{-1}{2}(x -[-4] )\\\\y - 5= \frac{-1}{2}(x + 4)\\\\y - 5 = \frac{-1}{2}x +\frac{-1}{2}*4\\\\y-5 = \frac{-1}{2}x -2\\\\y = \frac{-1}{2}x-2+5\\\\y=\frac{-1}{2}x + 3[/tex]
