# A line segment is bisected by a line with the equation # 7 y + x = 7 #. If one end of the line segment is at #(1 ,3 )#, where is the other end?

The other end is

Let's rewrite the line's equation.

The perpendicular line's equation is

Then,

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The other end of the line segment is at the point (5, 2).

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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.

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

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