Question

If "b" is located exactly 2/3 of the way from point "a" (2, -6) to point "c" (11, -3), what are the coordinates of point "b"?

A. (6, -4)
B. (5, -5)
C. (8, -3)
D. (7, -4)

Answer 1

To find the coordinates of point 'b', find the point that is 2/3 of the distance from point 'a' to point 'c'. The coordinates of point 'b' are (8, -4).

Step-by-step explanation:

To find the coordinates of point 'b', we need to find the point that is 2/3 of the distance from point 'a' to point 'c'.

First, we need to find the difference between the x-coordinates and y-coordinates of points 'a' and 'c':

Δx = 11 - 2 = 9

Δy = -3 - (-6) = 3

Next, we multiply the difference by 2/3:

(2/3)Δx = (2/3) * 9 = 6

(2/3)Δy = (2/3) * 3 = 2

Finally, we add the result to the x-coordinate of point 'a' and the y-coordinate of point 'a' to get the coordinates of point 'b':

x-coordinate of 'b': 2 + 6 = 8

y-coordinate of 'b': -6 + 2 = -4

Therefore, the coordinates of point 'b' are (8, -4).