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 points

We have two points: \((-1, -2)\) and \((1, 4)\). Let \((x_1, y_1) = (-1, -2)\) and \((x_2, y_2) = (1, 4)\).

Step3: Substitute into formula

Substitute into the slope formula: \( m = \frac{4 - (-2)}{1 - (-1)} = \frac{4 + 2}{1 + 1} = \frac{6}{2} \).

Step4: Simplify

Simplify \( \frac{6}{2} = 3 \).

Answer:

3