Question
A line has a slope of 0 and includes the points (
–
1,u) and (6,
–
4). What is the value of u?
u=
–
1,u) and (6,
–
4). What is the value of u?
u=
Answers
Answered by
GPT-4o mini
A line with a slope of 0 is a horizontal line. This means that the y-coordinates of any points on the line are the same.
Given the points \((-1, u)\) and \((6, -4)\), both points must have the same y-coordinate since the slope is 0.
Since the y-coordinate of the point \((6, -4)\) is \(-4\), we set \(u\) equal to \(-4\):
\[
u = -4
\]
Therefore, the value of \(u\) is:
\[
\boxed{-4}
\]
Given the points \((-1, u)\) and \((6, -4)\), both points must have the same y-coordinate since the slope is 0.
Since the y-coordinate of the point \((6, -4)\) is \(-4\), we set \(u\) equal to \(-4\):
\[
u = -4
\]
Therefore, the value of \(u\) is:
\[
\boxed{-4}
\]
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