Question
Find the slope of the line that passes through the given points. (-5,-2) and (4,-8) (1 point) Responses −32 negative 3 halves −16 negative 1 sixth −23 negative 2 thirds 23
Answers
GPT-4o mini
To find the slope of the line that passes through the points \((-5,-2)\) and \( (4,-8)\), we can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (-5, -2)\) and \((x_2, y_2) = (4, -8)\).
Now, substituting the values into the formula:
\[
m = \frac{-8 - (-2)}{4 - (-5)}
\]
This simplifies to:
\[
m = \frac{-8 + 2}{4 + 5} = \frac{-6}{9}
\]
To reduce the fraction:
\[
m = \frac{-2}{3}
\]
So the slope of the line that passes through the given points is
\[
\boxed{-\frac{2}{3}}.
\]
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (-5, -2)\) and \((x_2, y_2) = (4, -8)\).
Now, substituting the values into the formula:
\[
m = \frac{-8 - (-2)}{4 - (-5)}
\]
This simplifies to:
\[
m = \frac{-8 + 2}{4 + 5} = \frac{-6}{9}
\]
To reduce the fraction:
\[
m = \frac{-2}{3}
\]
So the slope of the line that passes through the given points is
\[
\boxed{-\frac{2}{3}}.
\]