Since the line is perpendicular, we know that the slope is reciprocal and negative to the other one.
So,
y = -4x + b
We want to find the y-intersect (b) so substitute the intersected points and solve for it.
2 = -4(2) + b
2 = -8 + b
2 + 8 = b
10 = b
So the complete equation would be:
y = -4x + 10
