# A line passes through #(9 ,2 )# and #( 4, 5 )#. A second line passes through #( 4, 1 )#. What is one other point that the second line may pass through if it is parallel to the first line?

Two parallel lines have the same gradient.

When we calculate the gradient of the first line,

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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 line passes through #(8 ,9 )# and #(6 ,2 )#. A second line passes through #(3 ,4 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(2 ,3 )# and #( 4, 5 )#. A second line passes through #( 7, 4 )#. 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 #(2 ,12 )# and an area of #81 pi#. Circle B has a center at #(1 ,3 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them?
- Circle A has a center at #(5 ,12 )# and an area of #81 pi#. Circle B has a center at #(1 ,2 )# and an area of #16 pi#. Do the circles overlap? If not, what is the shortest distance between them?
- A line passes through #(4 ,1 )# and #(6 ,4 )#. A second line passes through #(3 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?

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