Question

What is the slope of the line that is perpendicular to the line that passes through (-3, 6) and (6, 8)?

Type a numerical answer.

Answer 1

`-4.5`

Explanation:

`"The slope of the line that passes through two points"`
`(x_1, y_1)" and "(x_2, y_2)" is"`

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

`"So here we have a line with slope"`

`(8 - 6)/(6 - (-3)) = 2/9`

`"Two lines that are perpendicular have slopes that give -1 if"`
`"the slopes are multiplied."`

`"So the slope of the perpendicular line is"`

`-1 / (2/9) = -9/2 = -4.5`