Question

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

$\left(2,-2\right);m=\frac{5}{2}$

Short answer

The required graph is:

Step-by-step solution

Given information. 

The point and slope are$\left(2,-2\right)$and$m=\frac{5}{2}$respectively.

Plot the given point 2,-2.

Plot the point on coordinate axes.

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

$$\begin{gathered} m=\frac{rise}{run} \\ \frac{5}{2}=\frac{rise}{run} \\ rise=5 \\ run=2 \end{gathered}$$

Starting at the point we plotted, count out the rise and run to mark the second point. We count 5 units up and 2 units right, and plot the second point.

Graph the line.

Draw a straight line passing through the two points.

This is the required graph.