Super a, b, and c are collinear, and b is between a and c. the ratio of ab to bc is 3 : 1.
if a is at (-2,-8) and b is at (1, 1), what are the coordinates of point c?

option 2 : y-7 = 2(x-1)

Step-by-step explanation:

the fastest way is to simply put the x- and y-values of both points into the equations, and see, which one is true for both points.

the first option is only true for the second point

7-7 = 4(1-1)

0 = 4×0 = 0

but for the first point

3-7 = 4(-1 - 1)

-4 = 4×-2 = -8

-4 = -8 is false

the second option then is true for both points

7-7 = 2(1-1)

0 = 0

3-7 = 2(-1 - 1)

-4 = 2×-2 = -4