Question

1. what is the slope of the line shown given that point a (-5, 0) and point b (0, 4) both lie on the line.

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 \( (x_1, y_1) = (-5, 0) \) and \( (x_2, y_2) = (0, 4) \).

Step3: Substitute into formula

\( m = \frac{4 - 0}{0 - (-5)} = \frac{4}{5} \).

Answer:

\(\frac{4}{5}\)