Answer:
y - 6 = x/3 + 17/3 - 6
Explanation:
x₁,y₁
A(-5,4)
x₂,y₂
B(1,6)
m = (y₂ - y₁) / (x₂ - x₁)
m = (6 - 4) / (1 - (-5))
m = 2 / (1 + 5)
m = 2/6
m = 1/3
y = mx + b B(1,6)
6 = (1) * 1/3 + b
6 = 1/3 + b
b = 6 - 1/3
b = (18 - 1) / 3
b = 17 / 3
y = x/3 + 17/3
y - 6 = x/3 + 17/3 - 6