Question

In the following exercises, graph each line with the given point and slope:$\left(-3,4\right);m=-\frac{1}{3}$

Short answer

The required graph is:

Step-by-step solution

Given information. 

The point and slope are$\left(-3,4\right)$and$m=-\frac{1}{3}$.

Plot the given point -3,4.

Plot the point on coordinate axes.

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

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

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

Graph the line.

Draw a straight line passing through the two points.

This is the required graph.