Could Somebody Help Me With My Geometry

The answer to your question is     y = -5/4x + 9/4

Step-by-step explanation:

Data

A (5, -4)

B (-3, 6)

Formula

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

x1 = 5      y1 = -4

x2 = -3    y2 = 6

-Substitution

          m = (6 + 4) / (-3 - 5)

-Simplification

          m = 10/-8

          m = -5/4

-Find the equation of the line

        y - y1 = m(x - x1)

-Substitution

        y + 4 = -5/4(x - 5)

-Simplification

        y + 4 = -5/4x + 25/4

-Solve for y

        y = -5/4x + 25/4 - 4

        y = -5/4x + 9/4