Question

Write an equation in slope-intercept form for each graph.

Short answer

The equation of the graph in slope-intercept form is$y=-2x-2$.

Step-by-step solution

Step 1. Given Information.

From the given graph, the line passes through $\left(-1,0\right)$ and $\left(0,-2\right)$. The equation of the line in slope-intercept form is to be determined.

Step 2. Calculation.

The equation of a line in slope-intercept form is $y=mx+b$, where m is the slope of the line and b is the y-intercept.

Here b=-2.

The slope of a line passing through two points is given by:

$\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{-2-0}{0-\left(-1\right)}\\ m=\frac{-2}{0+1}\\ m=-2\end{array}$

Step 3. Conclusion.

Hence, the equation of the graph in slope-intercept form is y=-2x-2.