Question

find the slope of the line shown in the graph.
a. 3
c. $-\frac{1}{3}$
b. -1
d. $\frac{1}{3}$

Explanation:

Step1: Identify two points

From the graph, we can see the line passes through \((0, -1)\) and \((3, 0)\).

Step2: Use slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0, -1)\) and \((x_2,y_2)=(3, 0)\). Then \(m=\frac{0 - (-1)}{3 - 0}=\frac{1}{3}\).

Answer:

d. \(\frac{1}{3}\)