i really need help i need take this exam for today

Question

Line segment BA¯¯¯¯¯¯¯¯ has endpoints B(−6,0) and A(4,5). What are the coordinates of the point located 3/5 of the way from point A to point B? Enter your answer as an ordered pair, formatted like this: (42, 53)

Answer 1

From B to A x increases by 10 and y increases by 5, y increases half as much as x. Slope of the line is 5/10 or 1/2. But you want to go from A to B, where the values decrease.

You want 3/5 of that decrease. 3/5 times 10 is 6, 3/5 of 5 is 3, so decrease x by 6 and y by 3

4-6=-2 for x 5-3=2 for y (-2,2) is the point