Schultz Greene
05/16/2023 · Junior High School
Find the slope of the line passing through the points \( (-7,-7) \) and \( (-3,6) \).
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Tutor-Verified Answer
Step-by-step Solution
To find the slope of the line passing through the points \((-7, -7)\) and \((-3, 6)\), we can use the formula for the slope \(m\) given by:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, we can assign the coordinates of the points as follows:
- Point 1: \((x_1, y_1) = (-7, -7)\)
- Point 2: \((x_2, y_2) = (-3, 6)\)
Now, substituting the values into the slope formula:
\[
m = \frac{6 - (-7)}{-3 - (-7)}
\]
Calculating the differences in the numerator and denominator:
\[
m = \frac{6 + 7}{-3 + 7}
\]
\[
m = \frac{13}{4}
\]
Thus, the slope of the line passing through the points \((-7, -7)\) and \((-3, 6)\) is
\[
\boxed{\frac{13}{4}}.
\]
Quick Answer
The slope is \( \frac{13}{4} \).
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