Question

PLEASE HELP

I just need help with this one question, im having trouble with it. Find an equation of the line that is perpendicular to the line shown below and passes through the point (-4,5). Show your work. ​

Answer 1

`y=(-1)/(2)x +3`

Explanation:

Take any two points from the graph

(2 , 0) ; (0 , -4)

Slope =
`(-4-0)/(0-2)\\\\`

`= (-4)/(-2)\\\\= 2`

Slope of the perpendicular line = -1/m = -1/2 = -1/2

m = -1/2 ; (-4 , 5)

y - y1 = m(x - x1)

`y - 5 = (-1)/(2)(x -[-4] )\\\\y - 5= (-1)/(2)(x + 4)\\\\y - 5 = (-1)/(2)x +(-1)/(2)*4\\\\y-5 = (-1)/(2)x -2\\\\y = (-1)/(2)x-2+5\\\\y=(-1)/(2)x + 3`