Question

what is the slope of this line? (with a coordinate grid and a line graphed on it, axes labeled x and y with grid lines and numbers from -80 to 80)

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through \((0, -10)\) and \((20, -20)\) (we can also choose 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 \((x_1,y_1)=(0, - 10)\) and \((x_2,y_2)=(20,-20)\).
Substitute the values into the formula: \(m=\frac{-20-(-10)}{20 - 0}=\frac{-20 + 10}{20}=\frac{-10}{20}=-\frac{1}{2}\)

Answer:

\(-\frac{1}{2}\)