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$8$ and intercept$(0,-6)$

Short answer

The equation in slope-intercept form is$y=8x-6$.

Step-by-step solution

Step 1.  Use the slope-intercept form.

The slope-intercept form is:

$y=mx+b$

The given slope $\left(m\right)=8$.

The given$y-$intercept is$(0,-6)$.

Step 2. Substitute values into slope-intercept form.

$$\begin{gathered} y=mx+b \\ y=8x+(-6) \\ y=8x-6 \end{gathered}$$

The equation of the line in slope-intercept form, with slope$8$and$y-$intercept$(0,-6)$, is$y=8x-6$.