The Definition of Linear Pair states that both ∠ABC and ∠CBD are equal to 180 degrees. In the question, this tells you that
m∠ABC and m∠CBD = (3x − 6).
So, you're equation should be (3x - 6) + (3x - 6) = 180.
You would then solve to get 6x - 12 = 180, 6x = 192, x = 32
x=32, and we used the Linear Pair Theorem (C)
The slope-intercept form:
y = mx + b
m - slope
b - y-intercept
We have m = 3 and b = -3. Substitute:
<h3>y = 3x - 3</h3>