Question

Let A(2,-3) and B(x,y) be the endpoints of a segment. The coordinates of the

midpoint M are M(4,5). What are the coordinates for B? Explain how you
calculated your answer.

Answer 1

To find the coordinates for point B, use the midpoint formula and substitute the values into the formula to solve for x and y. The coordinates for point B are (6, 13).

Step-by-step explanation:

To find the coordinates for point B, we can use the formula for finding the midpoint of a line segment. The midpoint formula is given by:

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

Using the given midpoint coordinates (4, 5) and point A (2, -3), we can substitute the values into the formula and solve for x and y.

Plugging in the values, we have:

(2 + x) / 2 = 4 and (-3 + y) / 2 = 5

Solving these equations, we find that x = 6 and y = 13. Therefore, the coordinates for point B are (6, 13).