last algebra question if i get it correct

Answer:
(3, 0)
Step-by-step explanation:
Step 1: Find slope
m = (-48 + 64)/(-15 + 21)
m = 8/3
y = 8/3x + b
Step 2: Find b
-32 = 8/3(-9) + b
-32 = -24 + b
b = -8
Step 3: Write linear equation
y = 8/3x - 8
Step 4: Find x-intercept
0 = 8/3x - 8
8 = 8/3x
x = 3