Question

A directed line segment AB on the coordinate plane starts from A (3,2) and ends at B (12,-9). Find the y-coordinate of your point C on line segment AB that partitions the segment into a 5:5 ratio.

a) -3.5
b) -4.5
c) -5.5
d) -6.5

Answer 1

To find the y-coordinate of point C on the line segment AB at a 5:5 ratio, calculate the midpoint's change in y and adjust from point A's y-coordinate. This results in the y-coordinate -3.5 for point C.

Step-by-step explanation:

The question asks to find the y-coordinate of a point C on a directed line segment AB that divides the segment in a 5:5 ratio. First, we determine the change in the y-coordinate from A to B, which is -9 - 2 = -11. Since the segment is divided into equal parts, we take half of this change, which is -11/2 = -5.5. Add this change to the y-coordinate of A to find the y-coordinate of point C: 2 + (-5.5) = -3.5. Therefore, the y-coordinate of point C is -3.5.