Question

If point A has coordinates (-3,8) and point B has coordinates (-7,-6), what is the midpoint of AB?

a) (-5, 1)
b) (-5, 2)
c) (-2, 1)
d) (-2, 2)

Answer 1

The midpoint of the line segment connecting point A (-3,8) and point B (-7,-6) is calculated using the midpoint formula, giving the result (-5,1).

Step-by-step explanation:

To determine the midpoint of the segment connecting two points A and B on a coordinate plane, one can use the midpoint formula which is given by:

( (x_1 + x_2)/2, (y_1 + y_2)/2 )

For point A with coordinates (-3,8) and point B with coordinates (-7,-6), apply the formula:

Midpoint of AB = ((-3 + (-7))/2, (8 + (-6))/2)

Midpoint of AB = ((-10)/2, (2)/2)

Midpoint of AB = (-5, 1)

Therefore, the midpoint of AB is (-5, 1), which corresponds to option a.