Question

what is the slope of the line that passes through the points (6, -5) and (6, -4)? 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, \( x_1 = 6 \), \( y_1=-5 \), \( x_2 = 6 \), \( y_2=-4 \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-4 - (-5)}{6 - 6}=\frac{-4 + 5}{0}=\frac{1}{0} \).

Step4: Determine slope type

Division by zero is undefined, so the slope of the line is undefined (it's a vertical line).

Answer:

undefined