Mathematics: When you use the midpoint formula, can you take either point as(x1,y1) and either point as (x2,y2)? why or why not?

None will be left b/c 54hrs is 19 more hrs than 35hrs. Half of the substance is already gone after only 35hrs...

When you use the midpoint formula, can you take

tiphannyk

12.03.2022

The endpoints are the (x₁, y₁) and (x₂, y₂) values. It does not matter which endpoint is first or second. You will get the same answer either way.

For example: assume we have two endpoints with coordinates (1, 3) and (4, 5)

Let (1,3) represent the first coordinate and (4,5) the second coordinate.

Then, M = $(\frac{x2 + x1}{2} , \frac{y2 + y1}{2} ) = (\frac{4 + 1}{2} , \frac{5 + 3}{2} ) = (\frac{5}{2} , \frac{8}{2}) = (\frac{5}{2} , 4)$

Now let's change the order so that (4, 5) represents the first coordinate and (1,3) represents the second coordinate.

Then, M = $(\frac{x2 - x1}{2} , \frac{y2 - y1}{2} ) = (\frac{1 + 4}{2} , \frac{3 + 5}{2} ) = (\frac{5}{2} , \frac{8}{2}) = (\frac{5}{2} , 4)$

Since we are adding two numbers and addition is commutative, then it doesn't matter which order the endpoints are in.

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