Line segment dg contains the point d(-2,3) and a midpoint at o(3,-1.5) what is the location of endpoint g

To solve this we will use the midpoint formula. The midpoint formula states that:

The midpoint of two points, and is the point O found by the following formula:

x coordinate of O:

y coordinate of O:

Now, let us apply this formula in our question to find the location of the enpoint G. In our case the mid point is already given as O(3,-1.5). Thus, the x coordinate of O is 3 and the y coordinate of O is -1.5.

Also, and

Applying the formula we will get two sets of equations. The first one will be:

Therefore,

Likewise, we can find the as:

Thus, the location of the endpoint G is (8,-6)

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