Question

question 15 of 25
find the slope of the line using the points a(4,0) and b(0,2) from the graph. write the slope as a fraction or a decimal.
slope =
(there is a coordinate graph on the right, with a red line passing through points a(4,0) and b(0,2))

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

For points \( A(4, 0) \) and \( B(0, 2) \), we have \( x_1 = 4 \), \( y_1 = 0 \), \( x_2 = 0 \), \( y_2 = 2 \).

Step3: Substitute into formula

\( m=\frac{2 - 0}{0 - 4}=\frac{2}{-4}=-\frac{1}{2}=-0.5 \).

Answer:

\(-\frac{1}{2}\) (or \(-0.5\))