Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify two points on the line

We can see that the line passes through \((0, -2)\) and \((2, 2)\) (we can also choose other points, but these are easy to identify from the graph).

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 \((x_2,y_2)=(2, 2)\). Then \(m=\frac{2-(-2)}{2 - 0}=\frac{4}{2}=2\).

Answer:

\(2\)