A, B and C are collinear and B is between A and C. The ratio of AB to AC is 1:3. If A is at (2,-6) and B is at (3,-1) what are the coordinates of point C
Accepted Solution
A:
Answer:(5, 9)Step-by-step explanation:The distance between A and B is 1/3 the distance between A and C.x coordinates:3 β 2 = 1/3 (x β 2)1 = 1/3 (x β 2)3 = x β 2x = 5y coordinates:-1 β (-6) = 1/3 (y β (-6))5 = 1/3 (y + 6)15 = y + 6y = 9The coordinates of point C are (5, 9).