Tran May
08/15/2024 · Middle School
4. Find the slope of the line containing the points \( (-9,1) \) and \( (-3,2) \)
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Step-by-step Solution
To find the slope of the line containing the points \((-9, 1)\) and \((-3, 2)\), we can use the formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, we can assign:
- \((x_1, y_1) = (-9, 1)\)
- \((x_2, y_2) = (-3, 2)\)
Now, substituting the values into the slope formula:
\[
m = \frac{2 - 1}{-3 - (-9)}
\]
Calculating the numerator:
\[
2 - 1 = 1
\]
Calculating the denominator:
\[
-3 - (-9) = -3 + 9 = 6
\]
Now, substituting these results back into the slope formula:
\[
m = \frac{1}{6}
\]
Thus, the slope of the line containing the points \((-9, 1)\) and \((-3, 2)\) is
\[
\boxed{\frac{1}{6}}
\]
Quick Answer
The slope is \( \frac{1}{6} \).
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