The slope-intercept form: y = mx + b
m - slope
b - y-intercept
The slope-point form: y - y₁ = m(x - x₁)
We have:
m = 3 and the point (-5, 6) → x₁ = -5 and y₁ = 6
Substitute:
y - 6 = 3(x - (-5))
y - 6 = 3(x + 5) |use distributive property
y - 6 = 3x + 15 |add 6 to both sides
y = 3x + 21
Answer: y = 3x + 21