Question

What is the coordinate that is 2/3 of the way from a(-1,5) to b(-7,14)

A. (-5,11)
B. (-2,3)
C. (-6,9)
D. (-4,6)

Answer 1

The coordinate that is 2/3 of the way from point A to point B is (-4, 9.5).

Step-by-step explanation:

To find the coordinate that is 2/3 of the way from point A(-1,5) to point B(-7,14), we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) between two points (x1, y1) and (x2, y2) are given by the formula ( (x1 + x2) / 2, (y1 + y2) / 2 ). In this case, the coordinates of point A are (-1,5) and the coordinates of point B are (-7,14).

1. Calculate the x-coordinate of the midpoint using the formula ( (-1 + -7) / 2 ) = -8 / 2 = -4.
2. Calculate the y-coordinate of the midpoint using the formula ( (5 + 14) / 2 ) = 19 / 2 = 9.5.

Therefore, the coordinate that is 2/3 of the way from point A to point B is (-4, 9.5). None of the options provided match this coordinate, so the correct answer is None of the above.