SOLUTION: The slope of the line segment is 3 and one endpoint is (-2,5). If the other endpoint is on the axis, what are the coordinates?

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Question 927703: The slope of the line segment is 3 and one endpoint is (-2,5). If the other endpoint is on the axis, what are the coordinates?
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
On what axis? The x-axis? The y-axis? Never mind; we can find both.

Using the data given, a point-slope form of the equation of the line can be written as
<--->
A little algebra can be used to transform the equation above into the one and only slope-intercept form:
<---><---><--->
However, that is not necessary. The x- and y-intercepts can be found by making y=0 and x=0 respectively.
For that line,
the point on the x-axis, with , has
<---><---><---><---> , and
the point on the y-axis, with , has
<---><---><---><---> .
So the other end-point of the segment, on a coordinate axis is either
on the x-axis, or
on the y-axis.


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