Final answer:
The question asks for the coordinates of a point that is 2/3 of the way from point P to point Q on a Cartesian plane, but it does not provide the specific coordinates for P and Q. Therefore, the question cannot be precisely answered without this crucial information.Therefore, the correct option is: C. (5,3)
Step-by-step explanation:
The question pertains to finding a point that is 2/3 of the way from one point to another in a Cartesian plane. This involves calculating the coordinates of the point that is 2/3 of the distance from point P to point Q. To determine this, one can use the formula for finding a point that divides a line segment into a particular ratio, which in this case is 2:1.
The formula is (x, y) = ((mx2 + nx1) / (m + n), (my2 + ny1) / (m + n)) where m:n is the ratio, (x1, y1) are the coordinates of P, and (x2, y2) are the coordinates of Q. The question seems to lack the specific coordinates for P and Q, and therefore, cannot be precisely answered without additional information.Therefore, the correct option is: C. (5,3)