Question

Point AAA is at {(-2, 4)}(−2,4)left parenthesis, minus, 2, comma, 4, right parenthesis and point CCC is at {(4,7)}(4,7)left parenthesis, 4, comma, 7, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to ACACA, C is 1:31:31, colon, 3.

Answer 1

The coordinates of point BBB on line AC are (-0.5, 4.75).

Step-by-step explanation:

To find the coordinates of point BBB on line AC such that the ratio of AB to AC is 1:3, we can use the section formula.

Let's assume the coordinates of point BBB are (x, y).

The formula states that x-coordinate of point BBB is given by (1/4)(4) + (3/4)(-2) = -0.5.

The y-coordinate of point BBB is given by (1/4)(7) + (3/4)(4) = 4.75.

Therefore, the coordinates of point BBB on line AC are (-0.5, 4.75).

Answer 2

(0,5)

Step-by-step explanation:

Since the ratio is 1/3 and the difference between the two is 6 and 3, x would be 0 and y would be 5.