Question

Estion

4
ne midpoint of AB is M(2,-5). If the coordinates of A are (3,-7), what are the
bordinates of B?
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Answer 1

To find the coordinates of point B, we use the midpoint formula and solve for the x and y coordinates.

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) between two points (A and B) can be found by taking the average of the x-coordinates and the average of the y-coordinates of the two points. In this case, the x-coordinate of M is 2, which is the average of the x-coordinate of A (3) and the x-coordinate of B. Similarly, the y-coordinate of M is -5, which is the average of the y-coordinate of A (-7) and the y-coordinate of B.

Let's denote the x-coordinate of B as x and the y-coordinate of B as y. Using the midpoint formula, we have:

(3 + x) / 2 = 2

(-7 + y) / 2 = -5

Simplifying these equations, we can solve for x and y:

3 + x = 4

-7 + y = -10

x = 1

y = -3

Therefore, the coordinates of point B are (1, -3).

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