midpoint (-5,-15) endpoint (-13,-8). find the other endpoint
To find the other endpoint, you can use the formula for the midpoint of a line segment.
The midpoint formula is:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given the coordinates of one endpoint (-13, -8) and the midpoint (-5, -15), we can substitute these values into the formula to solve for the coordinates of the other endpoint.
Let's call the other endpoint (x, y). Plugging in all the given values, we have:
(-5, -15) = ((-13 + x) / 2, (-8 + y) / 2)
Using the formula for each coordinate, we can solve for x and y individually:
-5 = (-13 + x) / 2
-15 = (-8 + y) / 2
First, let's solve for x:
Multiply both sides of the equation -5 = (-13 + x) / 2 by 2 to get rid of the denominator:
-10 = -13 + x
Now, isolate x by moving -13 to the other side of the equation:
x = -10 + 13
x = 3
Now, let's solve for y:
Multiply both sides of the equation -15 = (-8 + y) / 2 by 2:
-30 = -8 + y
Now, isolate y by moving -8 to the other side of the equation:
y = -30 + 8
y = -22
Therefore, the coordinates of the other endpoint are (3, -22).