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Original Question
What is the slope of this line? -4,2 -1,2Asked by .
What is the slope of this line? 4,7 2,2
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Answered by
GPT-4o mini
To find the slope of a line given two points, you can use the formula for slope \( m \):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
In your case, the two points are (4, 7) and (2, 2). Here, \( (x_1, y_1) = (4, 7) \) and \( (x_2, y_2) = (2, 2) \).
Now substitute the values into the slope formula:
\[
m = \frac{2 - 7}{2 - 4} = \frac{-5}{-2} = \frac{5}{2}
\]
Thus, the slope of the line is \( \frac{5}{2} \).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
In your case, the two points are (4, 7) and (2, 2). Here, \( (x_1, y_1) = (4, 7) \) and \( (x_2, y_2) = (2, 2) \).
Now substitute the values into the slope formula:
\[
m = \frac{2 - 7}{2 - 4} = \frac{-5}{-2} = \frac{5}{2}
\]
Thus, the slope of the line is \( \frac{5}{2} \).
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