Question

In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form.

Slope$-3$and$y-$intercept$(0,-1)$.

Short answer

The equation in slope-intercept form is$y=-3x-1$.

Step-by-step solution

Step 1. Use the slope-intercept form.

The slope-intercept form is:

$y=mx+b$

The given slope $\left(m\right)=-3$

The given$y-$intercept is$(0,-1)$.

Step 2. Substitute values into slope-intercept form.

$$\begin{gathered} y=mx+b \\ y=(-3)x+(-1) \\ y=-3x-1 \end{gathered}$$

The equation of the line in slope-intercept form, with slope$-3$and$y-$intercept$(0,-1)$, is$y=-3x-1$.