Question

Line k passes through points (4, 3) and (8, 2). What is the slope

of a line perpendicular to line k?

Answer 1

perpendicular slope to line k is 4

Explanation:

calculate the slope of line k using the slope formula

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

with (x₁, y₁ ) = (4, 3 ) and (x₂, y₂ ) = (8, 2 )

m =
`(2-3)/(8-4)` =
`(-1)/(4)` = -
`(1)/(4)`

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-(1)/(4) )` = 4

the slope of a line perpendicular to line k is 4