Question

a line with a slope of -\frac{1}{5} passes through the point (3, 8). 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

Given $m =-\frac{1}{5}$, $x_1 = 3$, and $y_1 = 8$.

Step3: Substitute values

Substitute into the point - slope form: $y - 8=-\frac{1}{5}(x - 3)$.

Answer:

$y - 8=-\frac{1}{5}(x - 3)$