# A line passes through #(8 ,5 )# and #(2 ,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?

One other point has coordinates

Let the two lines be m,n

Slope of line m

Since lines m and n are parallel,

Slope of the lines are equal.

Eqn of line ‘n’ is

By substituting a value of 6 for x in the above equation , we can evaluate the corresponding value of y

One other point has coordinates

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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.

- Circle A has a center at #(2 ,8 )# and a radius of #4 #. Circle B has a center at #(-3 ,3 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them?
- Circle A has a center at #(-5 ,7 )# and a radius of #4 #. Circle B has a center at #(-3 ,2 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them?
- What is the perimeter of a triangle with corners at #(1 ,4 )#, #(3 , 2 )#, and #(2 ,7 )#?
- Circle A has a center at #(1 ,3 )# and an area of #18 pi#. Circle B has a center at #(11 ,7 )# and an area of #54 pi#. Do the circles overlap?
- A triangle has corners at #(5 ,5 )#, #(2 ,7 )#, and #(3 ,4 )#. How far is the triangle's centroid from the origin?

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