I keep getting the same answer but it is wrong. How do I work this?
M is the midpoint of AB. The coordinates of A are (-4, -2) and the coordinates of B are (9,-6). What are the coordinates of M?
the midpoint is just the average of the two ends, so its coordinates are
x = (-4+9)/2 = 5/2
y = (-2-6)/2 = -4
So, M = (5/2,-4)
It would be better had you posted your work, so we could verify accuracy or note mistakes.
Also, answer keys are sometimes wrong, so that's always something to consider.
To find the coordinates of the midpoint M, you can use the midpoint formula, which states that the coordinates of the midpoint of a line segment AB are the averages of the corresponding coordinates of points A and B.
To begin, let's identify the corresponding coordinates of points A and B:
Coordinates of A: (-4, -2)
Coordinates of B: (9, -6)
Now, let's apply the midpoint formula to find the coordinates of M:
Midpoint formula:
M = ((x1 + x2)/2, (y1 + y2)/2)
Substituting the values into the formula, we have:
M = ((-4 + 9)/2, (-2 + (-6))/2)
M = (5/2, -8/2)
M = (2.5, -4)
Therefore, the coordinates of the midpoint M are (2.5, -4).