Question

What is the slope of any line perpendicular to the line passing through `(-4,8)` and `(2,-7)`?

Answer 1

`6/15`

Explanation:

The rule of perpendicular lines is that the product of the slopes of perpendicular lines must be `-1`. In other words, they are opposite reciprocals of each other.

First, you want to find the slope of this line:
`(-7-8)/(2--4)=(-7-8)/(2+4)=-15/6`

Since the slope of this line is `-15/6`, to get the perpendicular line, we take the reciprocal of this slope:
`-6/15`

Then, we change the sign from a negative to a positive sign:
`6/15`