What is the slope of the line containing the midpoint of the segment with endpoints at (0, 0) and (2, 3) and the midpoint of the segment with endpoints at (5, 0) and (6, 3)? Express your answer in simplest form.
First, you have to find the midpoint of the two endpoints, using the formula, (x1+x2 divided by 2, y1+y2 divided by 2).
Next you substitute x1 for 0 and x2 for 2, so therefore your first point will be 1 after dividing by 2. Next you have to substitute 0 for y1 and 3 for y2 after this you divide by 2 and you get 3/2. So the midpoint of (0,0), (2,3) is (1,3/2).
Now you have to find the midpoint of (5,0), and (6,3), this would be the exact same process and you would end up with (11/2, 3/2) as your midpoint for (5,0), and (6,3).
Now all you do is find the slope between, (1,3/2), (11/2, 3/2).
The formula to find the slope is m=y2-y1 divided by x2-x1.
So now 3/2-3/2 divided by 11/2-1. This give you a slope of 0.
So in conclusion the answer is 0.
I hope this helps!