# A line segment is bisected by a line with the equation # 4 y - 6 x = 8 #. If one end of the line segment is at #( 7 , 3 )#, where is the other end?

Any point on the line

or

if the given line

Apology:

Even omitting some details, this explanation is quite long.

Consider the vertical line

This vertical line will intersect

A point twice as far above

That is the line segment from

Furthermore, as we can see from similar triangles any line parallel to

or simplified as

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

It is possible, since this question was asked under the heading "Perpendicular Bisectors" that it was intended that

In this case the perpendicular line to

would have a slope of

an equation of

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- How do you find the equation of the perpendicular bisector of the points #(1,4)# and #(5,-2)#?
- What is the orthocenter of a triangle with corners at #(5 ,2 )#, #(3 ,3 )#, and (7 ,9 )#?
- A triangle has corners A, B, and C located at #(5 ,6 )#, #(3 ,9 )#, and #(4 , 2 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- What is the orthocenter of a triangle with corners at #(1 ,3 )#, #(5 ,7 )#, and (9 ,8 )#?

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