Answer:
y=3/2x-44
Explanation:
The gradient to the line y=-⅔x+8 is -⅔
The product of the gradients of a line and its perpendicular line is equal to -1.
Hence:-⅔×__=-1
Gradient to the perpendicular line is 3/2
You then proceed to find the equation of the perpendicular line:
difference in y axis/difference in x axis=gradient
(y-(-16)/x-4)=3/2
2y+32=3x-12
2y=3x-44
y=3/2x-44