Question

Help me do this please

Answer 1

r = - 2

Explanation:

Use the slope formula to find m then equate to - 1

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

with (x₁, y₁ ) = (6, r) and (x₂, y₂ ) = (9, - 5)

m =
`(-5-r)/(9-6)` =
`(-5-r)/(3)` = - 1 ( multiply both sides by 3 )

- 5 - r = - 3 ( add 5 to both sides )

- r = 2 ( multiply both sides by - 1 )

r = - 2