Answer:
y = -1/5x + 48/5 or y = -1/5x + 8.6
Step-by-step explanation:
Using the equation of line
y - y_1 = m(x - x_1)
First find the slope
y = 5x - 4
Note, if two lines are perpendicular, their slope will be negative reciprocal
Slope = m = -1/5
Using the equation
y -y_1 = m(x - x_1)
With the point ( 3, 8)
x_1 = 3
y_1 = 8
y - 8 = -1/5 ( x - 3)
y - 8 = -1(x -3)/5
Open the bracket
y - 8 =( -x +3 )/ 5
y = (-x +3)/5 + 8
LCM Is 5..
y =( -x +3 + 40)/5
y = (-x + 43)/5
We can still separate
y = -x/5 + 43/5
y = -1/5x + 43/5
y = -1/5x + 8.6