Question

write an equation in slope - intercept form for the line with slope - 4 and y - intercept - 1.

Explanation:

Step1: Recall slope-intercept form

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

Step2: Substitute values

We are given that the slope $m=-4$ and the y - intercept $b = - 1$. Substitute $m=-4$ and $b=-1$ into the equation $y=mx + b$.
We get $y=-4x+(-1)$, which simplifies to $y=-4x - 1$.

Answer:

$y=-4x - 1$