Question

what is the slope of this line? grid with a line, y-axis from -80 to 80, x-axis from -80 to 80, line passing through points like (0,20) and (10, -20) approximately

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, 20)\) (the y - intercept) and \((10, 0)\) (where the line crosses the x - axis).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are two points on the line. Let \((x_1,y_1)=(0, 20)\) and \((x_2,y_2)=(10, 0)\).
Substitute the values into the formula: \(m=\frac{0 - 20}{10 - 0}=\frac{- 20}{10}=- 2\).

Answer:

The slope of the line is \(-2\)