Question

Graph the line passing through the point$(-2,3)$with the slope$m=\frac{1}{4}$.

Short answer

The graph of the line is

Step-by-step solution

Step 1. Plot the given point

Locate point $(-2,3)$on the graph.

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

The slope formula is

$$\begin{gathered} m=\frac{rise}{run} \\ \frac{rise}{run}=\frac{1}{4} \\ rise=1 \\ run=4 \end{gathered}$$

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

Starting at$(-2,3)$ . Count the rise and the run.

Up $1$unit, right $4$units.

Step 4. Connect the two points with a line.

Connect two points with a line.