Question

Using the graph below, what is the midpoint of Line Segment AC with coordinates A(-3,2) and B(-2,4)?

a) (-2.5, 3)
b) (-2.75, 3.5)
c) (-3.5, 2.5)
d) (-2, 4)

Answer 1

The midpoint of line segment AC with coordinates A(-3,2) and C(-2,4) is found using the midpoint formula and is (-2.5, 3), which corresponds to option a).

Step-by-step explanation:

The student asked for the midpoint of line segment AC with coordinates A(-3,2) and C(-2,4). To find the midpoint, we use the midpoint formula:

Midpoint (M) = ((x1 + x2)/2, (y1 + y2)/2).

Substituting the given coordinates into the formula gives us:

M = ((-3 - 2)/2, (2 + 4)/2)

= (-2.5, 3)

Therefore, the correct answer is option a) (-2.5, 3).