Question

1. using the graph below:

a. count the slope on the graph to determine the line’s slope.
b. list the ordered pairs of the points provided on the graph.
c. use the formula and the points to determine the slope.

Explanation:

Part a

Step1: Identify two points

From the graph, the two points are \((0, 2)\) and \((1, -2)\).

Step2: Calculate rise over run

Rise is the change in \(y\): \(-2 - 2=-4\). Run is the change in \(x\): \(1 - 0 = 1\). Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{-4}{1}=-4\).

The two marked points on the graph: one is at \(x = 0,y = 2\) so \((0, 2)\), and the other is at \(x = 1,y=-2\) so \((1, -2)\).

Step1: Recall slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)=(0, 2)\) and \((x_2,y_2)=(1, -2)\).

Step2: Substitute values

Substitute into the formula: \(m=\frac{-2 - 2}{1 - 0}=\frac{-4}{1}=-4\).

Answer:

The slope of the line is \(-4\).

Part b