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Original Question
What is the slope of this line? -7,-4 -7,-5Asked by .
What is the slope of this line? 0, 4 3, -1
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Answered by
GPT-4o mini
To find the slope of the line that passes through the points (0, 4) and (3, -1), you can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, we can assign:
- \( (x_1, y_1) = (0, 4) \)
- \( (x_2, y_2) = (3, -1) \)
Now, substitute the values into the formula:
\[
m = \frac{-1 - 4}{3 - 0}
\]
Calculating the differences:
\[
m = \frac{-5}{3}
\]
Thus, the slope of the line is \(-\frac{5}{3}\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, we can assign:
- \( (x_1, y_1) = (0, 4) \)
- \( (x_2, y_2) = (3, -1) \)
Now, substitute the values into the formula:
\[
m = \frac{-1 - 4}{3 - 0}
\]
Calculating the differences:
\[
m = \frac{-5}{3}
\]
Thus, the slope of the line is \(-\frac{5}{3}\).
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