LM has the endpoints L(-1,1) and M(-5,-3) find the coordinates of the midpoint of LM
Coordinates of mid-point M between points P1(x1,y1) and P2(x2,y2) is M((x1+x2)/2, (y1+y2)/2)
To find the midpoint of a line segment, you can use the midpoint formula. The formula for finding the midpoint (M) of a line segment with endpoints L(x1, y1) and M(x2, y2) is:
M = ((x1 + x2) / 2, (y1 + y2) / 2)
In the given problem, the coordinates of point L are (-1, 1), and the coordinates of point M are (-5, -3). Let's substitute these values into the midpoint formula:
M = ((-1 - 5) / 2, (1 - 3) / 2)
Now, let's simplify the formula:
M = (-6 / 2, -2 / 2)
M = (-3, -1)
Therefore, the coordinates of the midpoint of LM are (-3, -1).