Question

what is the slope of this line? (4, 5) (2, -1)

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 the two points

From the graph, the points are \((2, -1)\) and \((4, 5)\). Let \((x_1, y_1) = (2, -1)\) and \((x_2, y_2) = (4, 5)\).

Step3: Substitute into the formula

\( m = \frac{5 - (-1)}{4 - 2} = \frac{5 + 1}{2} = \frac{6}{2} = 3 \).

Answer:

3