Question

I need help pls, what’s the answer?

Answer 1

x₂ = - 3

Explanation:

Calculate the slope m using the slope formula and equate to
`(5)/(6)`

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

with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)

m =
`(-1-9)/(x_(2)-9 )` , that is

`(-10)/(x_(2)-9 )` =
`(5)/(6)` ( cross- multiply )

5(x₂ - 9) = - 60 ( divide both sides by 5 )

x₂ - 9 = - 12 ( add 9 to both sides )

x₂ = - 3