# A line segment is bisected by a line with the equation # 3 y + 5 x = 2 #. If one end of the line segment is at #( 5 , 8 )#, where is the other end?

The other end is at

This problem is in the perpendicular bisectors so it is safe to assume that the bisected line is perpendicular; that means that its equation is of the form:

The equation of the bisected line is:

The given equation is:

Multiply equation [1] by -3 and equation [2] by 5

Add equations [3] and [4]:

The x coordinate of the other end of the line segment is twice that change added to the starting x coordinate:

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The other end of the line segment is at the point ((1, 4)).

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