Question

what is the slope of the line that passes through the points (0, -6) and (0, -5)? write your answer in simplest form.

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

Here, \( x_1 = 0 \), \( y_1=-6 \), \( x_2 = 0 \), \( y_2=-5 \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-5 - (-6)}{0 - 0}=\frac{-5 + 6}{0}=\frac{1}{0} \). Division by zero is undefined, so the slope is undefined.

Answer:

The slope is undefined.