Answer:
(0,5)
Step-by-step explanation:
To solve this problem we can find the horizontal distance and the vertical distance of the points A and C, then we divide this distance by 3 (as the ratio AB:AC is 1:3) and we sum this value to the point A to find the coordinates of the point B:
Horizontal distance of A to B:
4 - (-2) = 6
Vertical distance of A to B:
7 - 4 = 3
So we need to sum 6/3 = 2 to the x-coordinate and 3/3 = 1 to the vertical coordinate of A:
B = (-2+2, 4+1) = (0,5)
