Point A is at (-2,4) and point C is at (4,7). Find the coordinates of point B on line AC such that the ratio of line AB to line AC is 1:3

B: ___?

(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)

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step-by-step explanation: