Question

use the points shown on the graph to the right to determine the slope of the line. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the slope of the line is (type an integer or a fraction.) b. the slope is undefined

Explanation:

Step1: Identify two points on the line

Let's assume two points \((x_1,y_1)\) and \((x_2,y_2)\) on the line. For example, if we take two clear - cut points on the line from the graph, say \((x_1 = - 2,y_1=0)\) and \((x_2 = 2,y_2 = 2)\).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute \(x_1=-2,y_1 = 0,x_2 = 2,y_2=2\) into the formula: \(m=\frac{2 - 0}{2-(-2)}=\frac{2}{4}=\frac{1}{2}\).

Answer:

A. The slope of the line is \(\frac{1}{2}\)