Question

what is the slope of this line?\
(graph with points (-2, 2) and (3, -3) on a line)

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

We have points \((-2, 2)\) and \((3, -3)\). Let \((x_1, y_1)=(-2, 2)\) and \((x_2, y_2)=(3, -3)\).

Step3: Substitute into formula

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

Step4: Simplify numerator and denominator

Simplify numerator: \(-3 - 2=-5\). Simplify denominator: \(3 - (-2)=3 + 2 = 5\).

Step5: Calculate slope

\( m=\frac{-5}{5}=-1 \).

Answer:

\(-1\)