Question

rate of change - slope quick check
find the slope of the line.
(1 point)
-2
-\frac{1}{2}
\frac{1}{2}
2

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, 2)\) and \((-2, -2)\) (or other pairs like \((2, 6)\) and \((0, 2)\), but let's use \((x_1, y_1)=(-2, -2)\) and \((x_2, y_2)=(0, 2)\) for calculation).

Step2: Use the slope formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substitute the values: \(y_2 = 2\), \(y_1 = -2\), \(x_2 = 0\), \(x_1 = -2\). So \(m=\frac{2 - (-2)}{0 - (-2)}=\frac{2 + 2}{0 + 2}=\frac{4}{2}=2\).
Alternatively, using the points \((0, 2)\) and \((2, 6)\): \(m=\frac{6 - 2}{2 - 0}=\frac{4}{2}=2\).

Answer:

2