Question

Line m passes through points (9, 9) and (6, 1). Line n passes through points (10, 7) and (1, 15). Are line m and line n parallel or perpendicular?

Answer 1

Explanation:

Slopes of parallel lines are the same. (
`m_(1)` =
`m_(2)` )

Slopes of two perpendicular lines are opposite reciprocals. (
`m_(1)` ×
`m_(2)` = - 1 )

(
`x_(1)` ,
`y_(1)` )

(
`x_(2)` ,
`y_(2)` )

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

~~~~~~~~~~~~~

(9, 9)

(6, 1)

`m_(m)` =
`(1-9)/(6-9)` =
`(8)/(3)`

(10, 7)

(1, 15)

`m_(n)` =
`(15-7)/(1-10)` = -
`(8)/(9)`

Lines m and n neither parallel, nor perpendicular.