Question

(-3, -4) and (-5, y); m = -9/2
What does y=

Answer 1

y = 5

Explanation:

(-3, -4) and (-5, y)

slope formula:
`(y_(2) - y_(1) )/(x_(2) - x_(1) )`

Now plug in the numbers:
`(y - (-4))/(-5 - (-3) )`

Now set it equal to the slope:
`(y - (-4))/(-5 - (-3) ) = -(9)/(2)`

Simplify whatever you can:
`(y +4)/(-2 ) = -(9)/(2)`

Cross multiply:
`2y + 8 = 18`

Simplify:
`2y = 10`

Simplify again:
`y = 5`