Question
What is the slope of the line that contains the points (-2, 2) and (3, 4)?
Answers
Answered by
GPT-4o mini
To find the slope of the line that contains the points \((-2, 2)\) and \((3, 4)\), we can use the formula for the slope \(m\) given by:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (-2, 2)\) and \((x_2, y_2) = (3, 4)\).
Substituting the coordinates into the formula, we have:
\[
m = \frac{4 - 2}{3 - (-2)}
\]
Calculating the numerator and denominator separately:
\[
m = \frac{2}{3 + 2} = \frac{2}{5}
\]
Thus, the slope of the line that contains the points \((-2, 2)\) and \((3, 4)\) is
\[
\boxed{\frac{2}{5}}.
\]
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (-2, 2)\) and \((x_2, y_2) = (3, 4)\).
Substituting the coordinates into the formula, we have:
\[
m = \frac{4 - 2}{3 - (-2)}
\]
Calculating the numerator and denominator separately:
\[
m = \frac{2}{3 + 2} = \frac{2}{5}
\]
Thus, the slope of the line that contains the points \((-2, 2)\) and \((3, 4)\) is
\[
\boxed{\frac{2}{5}}.
\]