Question
Given the points \( (5,-5) \) and \( (10,4) \) find the slope. Enter your aianswer as an integer or reduced fra \( m= \) Question Help: Video Written Example Message instructor
Ask by Davison Hart. in the United States
Mar 22,2025
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Tutor-Verified Answer
Answer
\( m = \frac{9}{5} \)
Solution
To find the slope \( m \) between the two points \( (x_1, y_1) = (5, -5) \) and \( (x_2, y_2) = (10, 4) \), we can use the formula for the slope:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Now, let's substitute the values into the formula:
\[
m = \frac{4 - (-5)}{10 - 5}
\]
Now, we will simplify this expression step by step.
1. Calculate \( y_2 - y_1 \):
\[
4 - (-5) = 4 + 5 = 9
\]
2. Calculate \( x_2 - x_1 \):
\[
10 - 5 = 5
\]
Now, substituting these results back into the slope formula:
\[
m = \frac{9}{5}
\]
Thus, the slope \( m \) is:
\[
m = \frac{9}{5}
\]
So, the final answer is \( \frac{9}{5} \).
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Simplify this solution Mind Expander
To find the slope \( m \) between the points \( (5, -5) \) and \( (10, 4) \), use the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, \( (x_1, y_1) = (5, -5) \) and \( (x_2, y_2) = (10, 4) \). Plugging in these values, we get: \[ m = \frac{4 - (-5)}{10 - 5} = \frac{4 + 5}{5} = \frac{9}{5} \] So, the slope \( m = \frac{9}{5} \).
