Question

A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 4:5.

If A is at (-3,7) and B is at (1,-5)what are the coordinates of point C?

Answer 1

B. 4 A. 5 C
(1,-5) (-3,7) (x,y)

`( - 3.7) = (1(5) + x(4))/(5 + 4 ). ( - 5(5) + y(4))/(5 + 4) \\ - 3 = (5 + 4x)/(9) \\ - 27 = 5 + 4x \\ ( - 27 - 5)/( 4) \\ x= - 8 \\ 7 = ( - 25 + 4 y )/(9) \\ 63 + 25 = 4y \\ \\ 88 = 4y \\ y = 22 \\`
koordinat c (-8,22)