Question

directions: find the slope of
1.

Explanation:

Step1: Identify two points on the line

From the graph, we can see two clear points: let's take \((0, -2)\) and \((2, 0)\) (we can also use other points, but these are easy to identify).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0, - 2)\) and \((x_2,y_2)=(2,0)\). Then \(m=\frac{0 - (-2)}{2 - 0}=\frac{0 + 2}{2}=\frac{2}{2} = 1\). We can also use the "rise over run" method. From \((0,-2)\) to \((2,0)\), the rise (change in \(y\)) is \(0-(-2) = 2\) and the run (change in \(x\)) is \(2 - 0=2\). So slope \(m=\frac{\text{rise}}{\text{run}}=\frac{2}{2}=1\).

Answer:

The slope of the line is \(1\).