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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify two points

We have points \((-2, -4)\) and \((2, 2)\). Let \((x_1, y_1)=(-2, -4)\) and \((x_2, y_2)=(2, 2)\).

Step3: Substitute into formula

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

Answer:

\(\frac{3}{2}\)