Answer:
y - 6 = -1/2 (x + 1)
Step-by-step explanation:
Point-slope equation:
y − y₁ = m(x − x₁)
m is the slope
We need to only find m
m = y₂ - y₁ / x₂ - x₁
m = 5 - 6 / 1 - (-1)
m = -1 / 1 + 1
m = -1/2
We know that,
x₁ = -1
y₁ = 6
m = -1/2
So substitute.
y - 6 = -1/2 (x - (-1))
y - 6 = -1/2 (x + 1)