Question

which equation represents the line that contains the point (8, -2) and has a slope of 5?
y + 2 = 5 (x - 8)
y - 2 = 5 (x + 8)
y - 8 = 5 (x + 2)
y + 8 = 5 (x - 2)

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope.

Step2: Identify values

Given the point $(8,-2)$ and slope $m = 5$, so $x_1=8$ and $y_1=-2$.

Step3: Substitute values

Substitute $x_1 = 8$, $y_1=-2$ and $m = 5$ into the point - slope form: $y-(-2)=5(x - 8)$, which simplifies to $y + 2=5(x - 8)$.

Answer:

A. $y + 2 = 5(x - 8)$