Question

can someone please help will give brain

Answer 1

y = 9

Explanation:

• Parallel lines have equal slopes

calculate the slope m of TU using the slope formula

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

with (x₁, y₁ ) = T(- 7, 4 ) and (x₂, y₂ ) = U(- 2, - 6 )

`m_(TU)` =
`(-6-4)/(-2-(-7))` =
`(-10)/(-2+7)` =
`(-10)/(5)` = - 2

now calculate the slope of VW and equate to - 2

with (x₁, y₁ ) = V(8, 7 ) and (x₂, y₂ ) = W(7, y )

`m_(VW)` =
`(y-7)/(7-8)` =
`(y-7)/(-1)`

now equating gives

`(y-7)/(-1)` = - 2 ( multiply both sides by - 1 to clear the fraction )

y - 7 = 2 ( add 7 to both sides )

y = 9