Question
What is the slope of the line that contains the points (−3, −1) and (3, 8)?
two thirds
three halves
Undefined
0
two thirds
three halves
Undefined
0
Answers
GPT-4o mini
To calculate the slope of the line that passes through the points \((-3, -1)\) and \((3, 8)\), we can use the formula for the slope \(m\):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1) = (-3, -1)\) and \((x_2, y_2) = (3, 8)\).
Substituting the values into the formula:
\[
m = \frac{8 - (-1)}{3 - (-3)}
\]
This simplifies to:
\[
m = \frac{8 + 1}{3 + 3} = \frac{9}{6} = \frac{3}{2}
\]
Thus, the slope of the line is \(\frac{3}{2}\).
The correct answer is **three halves**.
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1) = (-3, -1)\) and \((x_2, y_2) = (3, 8)\).
Substituting the values into the formula:
\[
m = \frac{8 - (-1)}{3 - (-3)}
\]
This simplifies to:
\[
m = \frac{8 + 1}{3 + 3} = \frac{9}{6} = \frac{3}{2}
\]
Thus, the slope of the line is \(\frac{3}{2}\).
The correct answer is **three halves**.