Question

use the two points to find the slope of this line.
m =?
remember: slope = \frac{rise}{run}

Explanation:

Step1: Identify the two points

From the graph, the two points are \((1, -3)\) and \((4, -2)\).

Step2: Calculate the rise

Rise is the change in \(y\)-values, so \(y_2 - y_1=-2 - (-3)=-2 + 3 = 1\).

Step3: Calculate the run

Run is the change in \(x\)-values, so \(x_2 - x_1 = 4 - 1=3\).

Step4: Find the slope

Using the formula \(m=\frac{\text{rise}}{\text{run}}\), we substitute the values: \(m=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)