Question

1. find the slope of the line that passes through the points a(0, 2) and b(5, -1).

Explanation:

Step1: Recall the slope formula

The slope \( m \) of a line passing through 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 the coordinates

For points \( A(0, 2) \) and \( B(5, - 1) \), we have \( x_1 = 0,y_1 = 2,x_2=5,y_2=-1 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-1 - 2}{5 - 0}=\frac{-3}{5}=-\frac{3}{5} \).

Answer:

The slope of the line is \(-\frac{3}{5}\)