What are the coordinates of the point 3
of the way from A to B?
у
4
B
2
1
+2
lo
-21
А

9514 1404 393

  (-3 1/2, 1 1/4)

Step-by-step explanation:

For some point P, we want ...

  (P -A)/(B -A) = 3/4

  4P -4A = 3B -3A

  4P = 3B +A

  P = (3B +A)/4 = (3(-3, 3) +(-5, -4))/4 = (-9-5, 9-4)/4 = (-14, 5)/4

  P = (-7/2, 5/4) = (-3 1/2, 1 1/4) . . . . the desired point

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.