Question

What is the answer??

Answer 1

y₂ = 3

Explanation:

Calculate the slope m using the slope formula and equate to -
`(3)/(4)`

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

with (x₁, y₁ ) = (7, - 6) and (x₂, y₂ ) = (- 5, y₂ )

m =
`(y_(2)+6 )/(-5-7)` , that is

`(y_(2)+6 )/(-12)` = -
`(3)/(4)` ( cross- multiply )

4(y₂ + 6) = 36 ( divide both sides by 4 )

y₂ + 6 = 9 ( subtract 6 from both sides )

y₂ = 3