Question

On a coordinate grid, segment AB has endpoints A(3,-8) and B(1, 2).

What is the midpoint of segment AB?

Answer 1

The midpoint of segment AB with endpoints A(3, -8) and B(1, 2) on a coordinate grid is calculated using the midpoint formula and is found to be M(2, -3).

Step-by-step explanation:

To find the midpoint of segment AB with endpoints A(3,-8) and B(1, 2) on a coordinate grid, we use the midpoint formula. This formula states that the midpoint M of the segment AB is given by M((x1 + x2)/2, (y1 + y2)/2), where A(x1, y1) and B(x2, y2) are the coordinates of the endpoints.

In this case, A(3, -8) and B(1, 2), so we plug these values into the formula:

M = ((3 + 1)/2, (-8 + 2)/2)
M = (4/2, -6/2)
M = (2, -3)

Therefore, the midpoint of segment AB on a coordinate grid is M(2, -3).