Question

a line passes through points at (9, 5) and (4, 3) . what is the slope of the line perpendicular to this line? slope

Answer 1

perpendicular slope = -
`(5)/(2)`

Explanation:

calculate the slope of the line m using the slope formula

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

let (x₁, y₁ ) = (9, 5 ) and (x₂, y₂ ) = (4, 3 )

substitute these values into the formula for m

m =
`(3-5)/(4-9)` =
`(-2)/(-5)` =
`(2)/(5)`

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/((2)/(5) )` = -
`(5)/(2)`