Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

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

Step2: Identify the points

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

Step3: Substitute into the formula

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

Step4: Simplify the numerator and denominator

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

Step5: Calculate the slope

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

Answer:

\(-1\)