Question

what is the slope of this line? (graph with points (0, -2) and (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 two points

From the graph, we have points \((0, -2)\) and \((4, 3)\). Let \((x_1, y_1)=(0, -2)\) and \((x_2, y_2)=(4, 3)\).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{3 - (-2)}{4 - 0}=\frac{3 + 2}{4}=\frac{5}{4} \).

Answer:

\(\frac{5}{4}\)