Question

The slope of (3, n) and (-7, 13) is −1/2

. Find the value of n needed to make the desired slope

Answer 1

`n = 8`

Explanation:

Slope = (change in y-values)/(change in x-values)

`(-1)/(2) = (13 - n)/(-7-3)`

`-1(-7 - 3) = 2(13 -n)`

`-1(-10) = 26 - 2n`

`10 = 26 - 2n`

`10 - 26 = -2n`

`-16 = -2n`

`(-16)/(-2) = (-2n)/(n)`

`8 = n`