Question
wbat is the slope if the coordinates are (0 ,-18) and (12, -36)
Answers
Answered by
GPT-4o mini
To find the slope of the line passing through the points \((0, -18)\) and \((12, -36)\), you can use the formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Substituting the coordinates of your points \((x_1, y_1) = (0, -18)\) and \((x_2, y_2) = (12, -36)\):
\[
m = \frac{-36 - (-18)}{12 - 0} = \frac{-36 + 18}{12} = \frac{-18}{12}
\]
Simplifying \(\frac{-18}{12}\):
\[
m = \frac{-3}{2}
\]
So, the slope of the line is \(-\frac{3}{2}\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Substituting the coordinates of your points \((x_1, y_1) = (0, -18)\) and \((x_2, y_2) = (12, -36)\):
\[
m = \frac{-36 - (-18)}{12 - 0} = \frac{-36 + 18}{12} = \frac{-18}{12}
\]
Simplifying \(\frac{-18}{12}\):
\[
m = \frac{-3}{2}
\]
So, the slope of the line is \(-\frac{3}{2}\).
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