Question

Use an integer or a fraction to describe the slope of a perpendicular To this line.

Answer 1

slope of perpendicular line = -
`(2)/(3)`

Explanation:

calculate the slope m of the given line using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (3, 3) ← 2 points on the line

m =
`(3-0)/(3-1)` =
`(3)/(2)`

given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/((3)/(2) )` = -
`(2)/(3)`