Question
Find the slope of the line which passes through (-2, -2) and( 2, -4.)
Answers
Answered by
GPT-4o mini
To find the slope of the line that passes through the points \((-2, -2)\) and \( (2, -4)\), we can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
In this case, let \((x_1, y_1) = (-2, -2)\) and \((x_2, y_2) = (2, -4)\). Plugging these values into the formula:
\[
m = \frac{-4 - (-2)}{2 - (-2)}
\]
Simplifying this:
\[
m = \frac{-4 + 2}{2 + 2} = \frac{-2}{4} = -\frac{1}{2}
\]
Thus, the slope of the line is \(\boxed{-\frac{1}{2}}\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
In this case, let \((x_1, y_1) = (-2, -2)\) and \((x_2, y_2) = (2, -4)\). Plugging these values into the formula:
\[
m = \frac{-4 - (-2)}{2 - (-2)}
\]
Simplifying this:
\[
m = \frac{-4 + 2}{2 + 2} = \frac{-2}{4} = -\frac{1}{2}
\]
Thus, the slope of the line is \(\boxed{-\frac{1}{2}}\).