Question

a line has a slope of -\frac{3}{5} and a y - intercept of -\frac{1}{5}. write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Substitute given values

Given $m=-\frac{3}{5}$ and $b =-\frac{1}{5}$, we substitute into the formula: $y=-\frac{3}{5}x-\frac{1}{5}$.

Answer:

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