Question

Graph the line passing through the point$(2,-2)$with slope$m=\frac{4}{3}$.

Short answer

The graph of the line is

Step-by-step solution

Step 1. Plot the given point

Locate points $(2,-2)$on the graph.

Step 2. Use the slope formula to identify the rise and the run.

The slope formula is

$$\begin{gathered} m=\frac{rise}{run} \\ m=\frac{4}{3} \\ rise=4 \\ run=3 \end{gathered}$$

Step 3. Starting at the given point, count out the rise and the run to mark the second point.

Starting at $(2,-2)$and count the rise and the run.

Up $4$units, right $3$units.

Step 4. Connect the two points with a line.

Connect two points with a line.