Question

What is the slope of the line that passes through the points left parenthesis, minus, 10, comma, minus, 8, right parenthesis(−10,−8) and left parenthesis, minus, 9, comma, minus, 8, right parenthesis(−9,−8)? Write your answer in simplest form.

Answer 1

To calculate the slope of the line that passes through the two points \((-10, -8)\) and \((-9, -8)\), we can use the slope formula:

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

Here, we assign the points as follows:
- \((x_1, y_1) = (-10, -8)\)
- \((x_2, y_2) = (-9, -8)\)

Now we can substitute the values into the slope formula:

\[
m = \frac{-8 - (-8)}{-9 - (-10)}
\]

Calculating the differences in the numerator and the denominator:

\[
m = \frac{-8 + 8}{-9 + 10} = \frac{0}{1}
\]

Since the numerator is 0, we find:

\[
m = 0
\]

Therefore, the slope of the line is

\[
\boxed{0}
\]

This indicates that the line is horizontal.