Question

1. what is the slope of the line shown in the graph, given that point a (-4, 4) and point b (-1, 6) both lie on the line? slope = enter your next step here

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 coordinates

Let \((x_1, y_1) = (-4, 4)\) and \((x_2, y_2) = (-1, 6)\).

Step3: Substitute into formula

\( m = \frac{6 - 4}{-1 - (-4)} = \frac{2}{3} \).

Answer:

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