Find the value for X

(x, 2) and (-5,8), and m = - 1

x = 1

Step-by-step explanation:

(y2 - y1) / (x2 - x1) = m

(x, 2) ... x1 = x and y1 = 2

(-5,8) ... x2 = - 5 and y2 = 8

now sub

(8 - 2) / (-5 - x) = - 1

6 / (-5 - x) = - 1 ... multiply both sides by (-5 - x)

6 = - 1 (-5 - x)

6 = 5 + x

6 - 5 = x

1 = x

lets check it ...

(y2 - y1) / (x2 - x1) = - 1

(8 - 2) / (-5 - 1) = - 1

6 / - 6 = - 1

-1 = - 1 (correct) ... so it checks out

x = 1