What are the coordinates of the
3/4
point of the way from A(-6, -3)
to B(10,9)?

The coordinates of the point are (6, 6).

Step-by-step explanation:

Find the difference in x-coordinates.

10 - (-6) = 16

Find 3/4 of the difference in x

3/4 * 16 = 3/4 * 16/1 = 48/4 = 12

Add 12 to the x-coordinate of point A.

-6 + 12 = 6

The x-coordinate is 6.

Now we do the same for the y-coordinates.

Find the difference in y-coordinates.

9 - (-3) = 12

Find 3/4 of the difference in y

3/4 * 12 = 3/4 * 12/1 = 36/4 = 9

Add 9 to the y-coordinate of point A.

-3 + 9 = 6

The y-coordinate is 6.

The coordinates of the point are (6, 6).