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

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

Step4: Simplify the fraction

Simplify \(\frac{6}{8}\) by dividing numerator and denominator by 2: \( \frac{6\div2}{8\div2} = \frac{3}{4} \).

Answer:

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