Question

Given S(-5, -2) and T(-3, 4). Find the midpoint of ST.

A) (-4, 1)
B) (-4, 2)
C) (-4, -1)
D) (-4, 3)

Answer 1

To find the midpoint of ST between S(-5, -2) and T(-3, 4), the midpoint formula is used, yielding a midpoint of (-4, 1), which matches option A.

Step-by-step explanation:

The midpoint of a line segment connecting two points in a Cartesian plane can be found using the midpoint formula, which is the average of the x-coordinates and the y-coordinates of the two points. Here, we have points S(-5, -2) and T(-3, 4).

The midpoint M is calculated as follows:
M = ((x1 + x2)/2, (y1 + y2)/2)
M = ((-5 + (-3))/2, (-2 + 4)/2)
M = (-8/2, 2/2)
M = (-4, 1)

Therefore, the midpoint of ST is (-4, 1), which corresponds to option A.