The point slope form of the equations is: 

y – y1 = m(x – x1), for a given point (x1, y1) and a slope m.

The slope on the other hand is calculated by the formula:

m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are two points from the line

In our case we have:

m = (- 8 - (-2))/(5 - 7)

m = (-6)/(-2)

m = 3

The point slope form is:

y - (-2) = 3(x - 7)

y + 2 = 3x - 21

y = 3x - 21 - 2

y = 3x - 23