Question

What is the slope of the line that passes through the points left parenthesis, 8, comma, minus, 6, right parenthesis(8,−6) and left parenthesis, 8, comma, minus, 9, right parenthesis(8,−9)? Write your answer in simplest form.
Answer
Attempt 1 out of 2

Answer 1

To find the slope of the line that passes through the points \((8, -6)\) and \((8, -9)\), we use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here:
- \( (x_1, y_1) = (8, -6) \)
- \( (x_2, y_2) = (8, -9) \)

Substituting these values into the formula:

\[
m = \frac{-9 - (-6)}{8 - 8} = \frac{-9 + 6}{0} = \frac{-3}{0}
\]

Since we cannot divide by zero, the slope is undefined.

The final answer is that the slope of the line is **undefined**.