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 the point that is 3/4 of the way from A to B on the line segment AB.
First, we need to find the x-coordinate of point C. The x-coordinate is found by taking 3/4 of the x-distance between A and B and adding it to the x-coordinate of point A. The x-distance between A and B is (12 - (-6)) = 18, so 3/4 of that is (3/4)*18 = 13.5. Adding that to the x-coordinate of point A, we get -6 + 13.5 = 7.5. Rounded to the nearest whole number, the x-coordinate of point C is 8.
Next, we need to find the y-coordinate of point C. The y-coordinate is found by taking 3/4 of the y-distance between A and B and adding it to the y-coordinate of point A. The y-distance between A and B is (3 - (-3)) = 6, so 3/4 of that is (3/4)*6 = 4.5. Adding that to the y-coordinate of point A, we get -3 + 4.5 = 1.5. Rounded to the nearest whole number, the y-coordinate of point C is 2.
Therefore, the coordinates of point C are (8, 2).
Therefore, the correct answer is:
(8, 2)