Final answer:
To find the coordinates of point P, use the midpoint formula with the given midpoint (10,7) and one of the endpoints (5,3), resulting in P being at (15,11).
Step-by-step explanation:
The question asks for the coordinates of point P if the midpoint of (5,3) and P is (10,7). To find this, we can use the midpoint formula: the midpoint M between two points X(x1, y1) and Y(x2, y2) is given by M = ((x1 + x2)/2, (y1 + y2)/2). Since we know M is (10,7) and one of the points is (5,3), we can substitute and solve for the unknown coordinates of P.
To find the x-coordinate of P:
10 = (5 + x)/2
20 = 5 + x
x = 15
To find the y-coordinate of P:
7 = (3 + y)/2
14 = 3 + y
y = 11
So, the coordinates of point P are (15,11).