Question

select the two statements that are true about the equation ( y + 4 = -8(x - 2) ). the slope of the line is ( -8 ). the slope of the line is ( 2 ). one point on the line is ( (2, 4) ). one point on the line is ( (2, -4) ).

Explanation:

Step1: Identify line equation form

The given equation $y + 4 = -8(x - 2)$ uses the point-slope form $y - y_1 = m(x - x_1)$, where $m$ is slope, $(x_1,y_1)$ is a point on the line.

Step2: Extract slope value

Compare with point-slope form: $m = -8$.

Step3: Extract point on line

Rewrite given equation to match form: $y - (-4) = -8(x - 2)$, so $(x_1,y_1)=(2,-4)$.

Answer:

A. The slope of the line is $-8$.
D. One point on the line is $(2, -4)$.