Question
Find the slope, if it exists, of the line containing the pair of points.
(negative 10,negative 19) and (negative 18,negative 20)
(negative 10,negative 19) and (negative 18,negative 20)
Answers
GPT-4o mini
To find the slope of the line that contains the points \((-10, -19)\) and \((-18, -20)\), we use the formula for the slope \( m \) given by:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1) = (-10, -19)\) and \((x_2, y_2) = (-18, -20)\).
Substituting the values into the formula:
\[
m = \frac{-20 - (-19)}{-18 - (-10)}
\]
This simplifies to:
\[
m = \frac{-20 + 19}{-18 + 10} = \frac{-1}{-8} = \frac{1}{8}
\]
Thus, the slope of the line is:
\[
\boxed{\frac{1}{8}}
\]
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1) = (-10, -19)\) and \((x_2, y_2) = (-18, -20)\).
Substituting the values into the formula:
\[
m = \frac{-20 - (-19)}{-18 - (-10)}
\]
This simplifies to:
\[
m = \frac{-20 + 19}{-18 + 10} = \frac{-1}{-8} = \frac{1}{8}
\]
Thus, the slope of the line is:
\[
\boxed{\frac{1}{8}}
\]