D. 45 and can you answer my history please ASAP
The answer is the product of their slope is -1.
First, let's break this down. Perpendicular lines are line with opposite reciprocal slopes. Opposite meaning the inverse sign and reciprocal meaning flipped.
For instance,
If a line had the slope of 5, its inverse would have a slope of -1/5.
Now, if we multiply these numbers together,
5 * -1/5 = -1
The 5's cancel out.
This works for any two perpendicular lines
(3+3i) - (13+15i)
=3+3i-13-15i
=-10-12i
With the formula: m=(y1-y2)/(x1-x2) you can sub in the values to get the slope (m).
m=(4-2)/(2-(-3))
= 2/5
Therefore the slope is 2/5.