Question

The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is 1/4 of the way from A to B?

Answer 1

The coordinates of the point that is 1/4 of the way from A to B are (8, 4).

Step-by-step explanation:

To find the point that is 1/4 of the way from point A to point B, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the given points, and the y-coordinate of the midpoint is the average of the y-coordinates of the given points.

For the x-coordinate: (4 + 12)/2 = 8

For the y-coordinate: (-2 + 10)/2 = 4

Therefore, the coordinates of the point that is 1/4 of the way from A to B is (8, 4).