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.