Question

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

Short answer

Slope intercept of the line in the graph is$y=3x-5$.

Step-by-step solution

Step 1. Given information.

A graph is shown as follows.

Step 2. Find the slope and y-intercept of the line from the graph.

Choose two points on the graph that passes through the line to find the slope.

The intercept is $\left(0,-5\right)$and graph passes through $\left(1,-2\right)$.

Slope $m=\frac{rise}{run}$.

Find slope as follows.

localid="1644385183396" $\begin{array}{rcl}m& =& \frac{-2-\left(-5\right)}{1-0}\\ m& =& \frac{3}{1}\\ m& =& 3\end{array}$

Step 3. Substitute the values into slope intercept form.

Slope intercept form is $y=mx+b$.

Substitute the values.

role="math" localid="1644330321675" $$\begin{gathered} y=mx+b \\ y=3x-5 \end{gathered}$$

Therefore, slope intercept of the line in the graph is$y=3x-5$.