Question

Find the equation of a line with given slope and y-intercept and write the equation in slope-intercept form.

Slope 0 and y-intercept$\left(0,-1\right)$.

Short answer

Slope intercept form of the line is $y=-1$.

Step-by-step solution

Step 1. Given information.

Slope is 0 and y-intercept is $\left(0,-1\right)$.

Step 2. Identify the slope and points.

Slope is 0 and points $\left(x_1,y_1\right)=\left(0,-1\right)$.

Step 3. Substitute the values in point-slope form.

Point slope form is $y-y_1=m\left(x-x_1\right)$.

Now, substitute the values.

$\begin{array}{rcl}y-\left(-1\right)& =& 0\left(x-0\right)\\ y+1& =& 0\end{array}$

Step 4. Write the slope intercept form.

Slope intercept of a line whose slope is 0 and y-intercept $\left(0,-1\right)$is $y=-1$.