Question

Find the midpoint of the line segment from (1,4) to (-4,6).

Answer 1

The midpoint of the line segment from (1,4) to (-4,6) is found by averaging the x-coordinates and the y-coordinates, which results in the point (-1.5, 5).

Step-by-step explanation:

To find the midpoint of the line segment from (1,4) to (-4,6), we use the midpoint formula: ((x1 + x2)/2, (y1 + y2)/2). Applying the given points to the formula, we have:

((1 + (-4))/2, (4 + 6)/2) = ((-3)/2, 10/2)

This simplifies to:

(-1.5, 5)

Therefore, the midpoint of the line segment from (1,4) to (-4,6) is (-1.5, 5).