Question

a line has a slope of -4 and a y - intercept of -\frac{2}{9}. 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 $m=-4$ and $b =-\frac{2}{9}$, we substitute these into the formula: $y=-4x-\frac{2}{9}$.

Answer:

$y=-4x-\frac{2}{9}$