Question

In the following exercises, graph each line with the given point and slope.

$x-intercept:-4;m=3$

Short answer

The required graph is:

Step-by-step solution

Given information. 

The point and slope are$\left(-4,0\right)$and$m=3$.

Plot the given point -4,0.

Plot the point on coordinate axes.

Identify the rise and run, and plot the second point. 

$$\begin{gathered} m=\frac{rise}{run} \\ \frac{3}{1}=\frac{rise}{run} \\ rise=3 \\ run=1 \end{gathered}$$

Starting at the point we plotted, count out the rise and run to mark the second point. We count 3 units up and 1 units right, and plot the second point.

Graph the line.

Draw a straight line passing through the two points.

This is the required graph.