First let us find the slope.
Slope = (y₂ - y₁) / (x₂ - x₁)
For (-6, 7) and (-3, 6)
We take the first and second as (x₁ , y₁) and (x₂ , y₂)
Slope = (6 - 7) / (-3 - -6) = -1 / (-3 + 6) = -1/3
Using y = mx + c, Slope m = -1/3
Using the fact that the line would pass through point (-6, 7)
x = -6, y = 7
Following y = mx + c
7 = -(1/3)*(-6) + c
7 = 2 + c
2 + c = 7
c = 7 - 2
c = 5
Therefore y = mx + c, m = -1/3 c = 5
y = (-1/3)x + 5
Second option from the top.
I hope this helps.
