Question

Find the midpoint of each segment with the given endpoints.
E(x+2,y) & (3x,y-6)

Answer 1

The midpoint of the segment with endpoints E(x+2,y) and (3x,y-6) is

(2x+1, y-3).

Explanation:

To find the midpoint of each segment, we need to use the midpoint formula:

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

For the segment with endpoints E(x+2,y) and (3x,y-6), we can plug in the values to get:

Midpoint = ((x+2 + 3x)/2, (y + (y-6))/2)

Midpoint = ((4x+2)/2, (2y-6)/2)

Simplifying, we get:

Midpoint = (2x+1, y-3)

Therefore, the midpoint of the segment with endpoints E(x+2,y) and (3x,y-6) is (2x+1, y-3).