Question

a line has a slope of 3 and a y - intercept of - 4. 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 given by the formula $y = mx + b$, where $m$ is the slope of the line and $b$ is the $y$-intercept.

Step2: Substitute the given values

We are given that the slope $m = 3$ and the $y$-intercept $b=- 4$. Substituting these values into the slope - intercept form formula $y=mx + b$, we get $y=3x+(-4)$.
Simplifying the expression $y = 3x-4$.

Answer:

$y = 3x - 4$