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

From the graph, we have two points: \((4, 12)\) and \((-4, -20)\). Let \((x_1, y_1) = (-4, -20)\) and \((x_2, y_2) = (4, 12)\).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{12 - (-20)}{4 - (-4)}=\frac{12 + 20}{4 + 4}=\frac{32}{8} \).

Step4: Simplify the fraction

Simplify \(\frac{32}{8}\) to get \( 4 \).

Answer:

\( 4 \)