Question

write an equation of a line in slope-intercept form with the given slope and y-intercept. slope: -6, y-intercept: -2

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 $m=-6$ and the $y$-intercept $b = - 2$. Substituting these values into the slope - intercept form formula $y=mx + b$, we get $y=-6x+(-2)$.
Simplifying the right - hand side, we have $y=-6x - 2$.

Answer:

$y=-6x - 2$