Question

1. find the slope of the line that contains the points (-2, 1) and (-2, -9).

Explanation:

Step1: Recall the 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 the coordinates

Here, \( x_1=-2,y_1 = 1,x_2=-2,y_2=-9 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-9 - 1}{-2-(-2)}=\frac{- 10}{0} \).

Step4: Analyze the result

Division by zero is undefined, so the slope of the line is undefined (this represents a vertical line).

Answer:

The slope is undefined.