Question

What is the slope of any line perpendicular to the line passing through `(-3,4)` and `(-2,3)`?

Answer 1

`1`

Explanation:

To find the slope of the line passing through `(-3, 4)` and `(-2,3)`, we can use the formula

`m = (y_2 - y_1)/(x_2 - x_1)`

which gives us

`m = (4 - 3)/(-2 - (-3)) = (-1)/1 = -1`

To find the slope of the line perpendicular to this line we simply take the negative reciprocal of this slope:

`- 1/(-1) = 1`