Answer:
The perpendicular line would be y = -1/2x
Step-by-step explanation:
Perpendicular lines have opposite and reciprocal slopes. This means that we take the original slope (2) and negate it (-2). Now that we have the negated version, we need to flip it (-1/2).
With the slope of our new equation decided, we simply need to plug it along with the point into point-slope base form and then solve for y.
y - y1 = m(x - x1)
y + 4 = -1/2(x - 8)
y + 4 = -1/2x + 4
y = -1/2x
