Question

Find the equation of a line with slope $-1$and $y-$intercept$(0,-3)$.

Short answer

The equation is$y=-x-3$.

Step-by-step solution

Step 1.  Use the slope-intercept form 

The slope-intercept form is $y=mx+b$.

Slope $\left(m\right)=-1$

$y-$intercept$(0,-3)$

Step 2.  Substitute values into slope-intercept form

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

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