Question

find the slope of the graph: a. -4/3 b. 3/4 c. -3/4 d. 4/3

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify points

Let \((x_1, y_1) = (1, -1)\) and \((x_2, y_2) = (4, 3)\).

Step3: Substitute into formula

\( m = \frac{3 - (-1)}{4 - 1} = \frac{3 + 1}{3} = \frac{4}{3} \).

Answer:

D. 4/3