Question

What are the coordinates of the point 2/3 of the way from P to Q, where point P is (-5,4) and Q is (7,-5)?

A) (-1, 2)
B) (0, 1)
C) (1, 0)
D) (2, -1)
E) (3, -2)

Answer 1

The coordinates 2/3 of the way from point P to Q are (1, -0.5).

Step-by-step explanation:

To find the coordinates 2/3 of the way from point P to Q, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are given by:

( (x1 + x2)/2, (y1 + y2)/2 )

In this case, the coordinates of point P are (-5,4) and the coordinates of point Q are (7,-5). Plugging these values into the formula, we get:

( ( -5 + 7 )/2, ( 4 + -5 )/2 ) = ( 2/2, -1/2 ) = ( 1, -0.5 )

Therefore, the coordinates 2/3 of the way from P to Q are (1, -0.5), which corresponds to option C).