Question

what is the slope of this line? (4, 5) (2, -1) 3 $-\frac{3}{4}$ 0 undefined

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 two 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

Substitute the values into the slope formula: \( m=\frac{5 - (-1)}{4 - 2}=\frac{5 + 1}{2}=\frac{6}{2}=3 \).

Answer:

3