Question

slope of a line given a graph find the slope of the line graphed to the left. a. ( m = \frac{1}{6} ) b. ( m = -\frac{1}{6} ) c. ( m = 6 ) d. ( m = -6 )

Explanation:

Step1: Identify two points on the line

From the graph, we can see two points: \((2, 5)\) and \((3, -1)\).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(2,5)\) and \((x_2,y_2)=(3, - 1)\).
Substitute the values into the formula: \(m=\frac{-1 - 5}{3 - 2}=\frac{-6}{1}=-6\).

Answer:

D. \(m = -6\)