# A line passes through #(6 ,2 )# and #(1 ,3 )#. 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?

The second line could pass through point

I find the easiest way to solve problems using points on a graph is to, well, graph it out.

As you can see above, I've graphed the three points —

The next step is to draw a perpendicular line that runs through

Here I've made another point,

The program I use is called Geogebra, you can find it here, and it's fairly straightforward to use.

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One other point that the second line may pass through if it is parallel to the first line is (2, 5).

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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 #(9 ,2 )# and #( 3, 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?
- A triangle has corners at #(4 ,1 )#, #(8 ,3 )#, and #(5 ,8 )#. How far is the triangle's centroid from the origin?
- What is the midpoint of the line segment joining the points (7, 4) and (-8, 7)?
- An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,5 )# to #(8 ,2 )# and the triangle's area is #27 #, what are the possible coordinates of the triangle's third corner?
- What is the perimeter of a triangle with corners at #(3 ,4 )#, #(6 ,7 )#, and #(4 ,5 )#?

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