Question

If point M(-1,3) is the midpoint on bar (AB), and A(4,-5), find B.?

Answer 1

To determine point B's coordinates when M(-1,3) is the midpoint of AB and A is at (4,-5), use the midpoint formula to get B(-6, 11).

Step-by-step explanation:

To find the coordinates of point B, given that M(-1,3) is the midpoint of segment AB and A(4,-5), we use the midpoint formula:

The midpoint M is the average of the x-coordinates and the y-coordinates of points A and B, respectively. Therefore, we can express this as:

(-1, 3) =
(
((xA + xB) / 2), ((yA + yB) / 2)
)

Plug in the coordinates of point A and solve for the coordinates of point B:

• -1 = (4 + xB) / 2 → xB = -1 * 2 - 4
• 3 = (-5 + yB) / 2 → yB = 3 * 2 + 5

Once we solve the above equations:

• xB = -6
• yB = 11

So the coordinates of point B are B(-6, 11).