Answer:
The equation would be y = 5/3x + 64/3
Step-by-step explanation:
To start, you need to locate the slope of the first equation. Since the slope is the coefficient of x, we know it to be -3/5. Now, the perpendicular slope is the opposite and reciprocal of that, which makes the new slope 5/3.
Now that we have this, we can use the point and the slope in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 8 = 5/3(x + 8)
y - 8 = 5/3x + 40/3
y = 5/3x + 64/3