I’ve been stuck on this question for a whilein the diagram, ab is divided into equal parts. the coordinates of point a (-3,9), and the coordinates of point b are (9,5). the coordinates of point c are {options: (-1.5,10.5) (-1.5,8.5) (-0.5,8.5) (-0.5,10.5) the coordinates of point e are {options: (1,5,6.5) (1.5,7.5) (2.5,6.5) (2.5,7.5) the coordinates of point h are {options: (5,5.5) (5,6) (6,5) 6,6)

AB is divided into 8 equal parts and point C is 1 part FROM A TO B, so the ratio is 1:7, with C being 1/7 of the way.  The ratio is k, found by writing the numerator of the ratio (1) over the sum of the numerator and denominator (1+7).  So our k value is 1/8.  Now we need to find the rise and the run (slope) of the points A and B.  .  That gives us a rise of -4 and a run of 12.  The coordinates of C are found in this formula: .  Filling in accordingly, we have which simplifies a bit to .  Finding common denominators and doing the math gives us that the coordinates of point C are .  There you go!