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
Answered by
GPT-4o mini
To find the slope of the line that contains the points \((-3, -1)\) and \((3, 8)\), you 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 \((x_2, y_2) = (3, 8)\).
Plugging the values into the formula:
\[
m = \frac{8 - (-1)}{3 - (-3)} = \frac{8 + 1}{3 + 3} = \frac{9}{6} = \frac{3}{2}
\]
Thus, the slope of the line is:
\(\frac{3}{2}\)
So the correct answer is **three halves**.
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1) = (-3, -1)\) and \((x_2, y_2) = (3, 8)\).
Plugging the values into the formula:
\[
m = \frac{8 - (-1)}{3 - (-3)} = \frac{8 + 1}{3 + 3} = \frac{9}{6} = \frac{3}{2}
\]
Thus, the slope of the line is:
\(\frac{3}{2}\)
So the correct answer is **three halves**.
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