Question

Which line is perpendicular to a line that has a slope of -5/6?

A - Line JK
B - Line LM
C - Line NO
D - Line PQ

Answer 1

Line LM

Explanation:

Answer 2

B

Explanation:

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

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

Given m = -
`(5)/(6)`, then

`m_(perpendicular)` = -
`(1)/(-(5)/(6) )` =
`(6)/(5)`

Since m > 0 then lines LM and No are the 2 possible lines

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = L(- 5, - 3) and (x₂, y₂ ) = M(0, 3)

m =
`(3+3)/(0+5)` =
`(6)/(5)`

Hence the required line is LM