Question

1. what is the slope of the line shown in the graph, given that point a (0, -2) and point b (4, 0)

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

For Point A \((0, -2)\), \( x_1 = 0 \), \( y_1=-2 \); for Point B \((4, 0)\), \( x_2 = 4 \), \( y_2 = 0 \).

Step3: Substitute into formula

Substitute values into \( m=\frac{y_2 - y_1}{x_2 - x_1} \): \( m=\frac{0 - (-2)}{4 - 0}=\frac{0 + 2}{4}=\frac{2}{4}=\frac{1}{2} \).

Answer:

\(\frac{1}{2}\)