Question

a line with a slope of $\frac{1}{8}$ passes through the point (8, 6). 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 $m = \frac{1}{8}$, $x_1 = 8$, and $y_1=6$.

Step3: Substitute values

Substitute into the point - slope form: $y - 6=\frac{1}{8}(x - 8)$.

Answer:

$y - 6=\frac{1}{8}(x - 8)$