Point A is located at (-6, -3) Point B is located at (12, 3) Point C is located on line segment AB 3/4 of the way from A to B. What are the coordinates of point C? (3,1 2 1 ) (7 2 1 ,16 2 1 ) (7 2 1 ,1 2 1 ) (7 2 1 ,0)
To find the coordinates of point C, we need to find 3/4 of the distance between points A and B in both the x-coordinate and the y-coordinate.
For the x-coordinate:
The distance between -6 and 12 is 18.
3/4 of 18 is (3/4) * 18 = 13.5.
Starting from -6, we move 13.5 units to the right to find the x-coordinate of point C.
-6 + 13.5 = 7.5.
For the y-coordinate:
The distance between -3 and 3 is 6.
3/4 of 6 is (3/4) * 6 = 4.5.
Starting from -3, we move 4.5 units up to find the y-coordinate of point C.
-3 + 4.5 = 1.5.
Therefore, the coordinates of point C are (7.5, 1.5).
Rounded to the nearest whole number, the coordinates of point C are (8, 2).
Therefore, none of the provided answer choices are correct.