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

Short answer

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

Step-by-step solution

Step 1. Use the slope-intercept form.

The slope-intercept form is:

$y=mx+b$

The given slope $\left(m\right)=-1$

The given $y-$intercept is $(0,3)$.

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