Question

Segment AB has endpoints A and B where A is (-1,5). The midpoint of AB, M, is (3,3). What are the coordinates of B

Option 1: 0.8 jumps/second
Option 2: 1 jump/second
Option 3: 1.25 jumps/second
Option 4: 0.625 jumps/second

Answer 1

To find point B's coordinates when A is (-1,5) and M is (3,3), we use the midpoint formula, resulting in B being at (7,1).

Step-by-step explanation:

The question is asking to find the coordinates of point B given that A is (-1,5) and the midpoint M is (3,3). In order to find the coordinates of B, we can use the midpoint formula, which states that the midpoint M's coordinates are the averages of the coordinates of A and B. We can set up two equations:

For x-coordinates: (xA + xB) / 2 = xM

For y-coordinates: (yA + yB) / 2 = yM

Plugging in the given values:

For x-coordinates: (-1 + xB) / 2 = 3

For y-coordinates: (5 + yB) / 2 = 3

We then solve these equations for xB and yB:

• xB = 2 * xM - xA = 2 * 3 - (-1) = 7
• yB = 2 * yM - yA = 2 * 3 - 5 = 1

Therefore, the coordinates of point B are (7,1).