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

Step3: Substitute into formula

\( m = \frac{2 - (-4)}{4 - (-4)} = \frac{2 + 4}{4 + 4} = \frac{6}{8} \).

Step4: Simplify the fraction

\( \frac{6}{8} = \frac{3}{4} \) (dividing numerator and denominator by 2).

Answer:

\(\frac{3}{4}\)