Question

a line with a slope of -8 passes through the point (-1, -1). what is its equation in point - slope form? use the specified point in your equation. write your answer using integers, proper fractions, and improper fractions. simplify all fractions.

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

We are given that $m=-8$, $x_1 = - 1$ and $y_1=-1$.

Step3: Substitute values

Substitute these values into the point - slope form: $y-(-1)=-8(x - (-1))$.

Step4: Simplify

Simplify the equation to get $y + 1=-8(x + 1)$.

Answer:

$y + 1=-8(x + 1)$