Answer:
Point B is (3, 8)
Step-by-step explanation:
Hello, Jacky,
Note that points A and C have the same x-coordinate and thus lie on the same vertical line, which is x = 3. To determine the length of this directed line segment, we need only subtract 4 from 9, obtaining 5.
Now if we start at (3,4), move up 4 units along this vertical line, plot a point there, and finally move 1 more unit along this line to C(3, 9), we will have partitioned the line in the ratio 4:1. To find the coordinates of this point, we simply take x = 3 (see above) and add 4 to y = 4), obtaining the point (3, 8). This is Point B.
Point B is (3, 8)
