Find the coordinates of the other endpoint when you are given the midpoint (point m) and one of the endpoints (point p). p = (2,-3) m = (6,-1)

The other end point would be (10, 1).

In order to solve these, you must look at the formula for finding the midpoint.

midpoint(x) = (x1 + x2)/2

midpoint(y) = (y1 + y2)/2

Using these two formulas, we can solve for the second point. Let's start with the x value.

midpoint(x) = (x1 + x2)/2 > plug in known values

6 = (2 + x2)/2 multiply both sides by 2

12 = 2 + x2 > subtract 2

10 = x2

Now do the same for y.

midpoint(y) = (y1 + y2)/2 > plug in known values

-1 = (-3 + y2)/2 > multiply both sides by 2

-2 = -3 + y2 > add 3 to both sides

1 = y2

Given these two point, we now have the ordered pair of (10, 1) for the other end point.

answer: the common difference is -0.10

1

step-by-step explanation:

it's the only multiple of both and the least