# A line passes through #(4 ,7 )# and #(2 ,8 )#. A second line passes through #(1 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?

The point

The equation of the first line is then

The equation of the parallel is

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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 at #(5 ,2 )#, #(4 ,6 )#, and #(3 ,1 )#. How far is the triangle's centroid from the origin?
- A line passes through #(3 ,6 )# and #(6 ,5 )#. A second line passes through #(4 ,3 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(5 ,1 )# and #(6 ,5 )#. A second line passes through #(4 ,3 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- Circle A has a center at #(3 ,5 )# and a radius of #1 #. Circle B has a center at #(-1 ,1 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them?
- A triangle has corners at #(5 ,6 )#, #(3 ,7 )#, and #(8 ,9 )#. How far is the triangle's centroid from the origin?

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