Question

The endpoints of line segment AB are A(-3, 1) and B(5, -9). Find the coordinates of the midpoint M.

a) (1, -5)
b) (2, -4)
c) (4, -8)
d) (6, -10)

Answer 1

The coordinates of the midpoint M of line segment AB with endpoints A(-3, 1) and B(5, -9) are calculated using the midpoint formula. The correct coordinates for M are (1, -4), matching option b).

Step-by-step explanation:

To find the coordinates of the midpoint M of line segment AB with endpoints A(-3, 1) and B(5, -9), you use the midpoint formula which is ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of A and B, respectively. Applying this formula, we have:

M = ((-3 + 5)/2, (1 - 9)/2)

M = (2/2, -8/2)

M = (1, -4)

Therefore, the coordinates of the midpoint M are (1, -4), which corresponds to option b).