What does the value of x have to be so that

(x,-7) and (-1,4) have a slope of 11/4 between them?

x=-5

Step-by-step explanation:

slope=m=11/4

(x, - 7) x1 = x, y1 = -7

(-1,4) x2=-1, y2 = 4

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

m = (4 - (-7)) / (-1-x)

11/4 = (4+7) / (-1-x)

11/4=11 / (-1-x)

then 4=-1-x,

-x=4+1

-x=5

x=-5