Tom and his friend both purchased some CD’s from an online store. The CD’s were all the same price. Tom purchased 5 CD’s for $80.00 and his friend purchased 3 CD’s for $52.00. Let x represent the number of CDs purchased, and y represent the total cost of the CDs. Write the equation in slope intercept form (y=mx+b). Show your work? NEED ASAP!

9514 1404 393

  y = 14x + 10

Step-by-step explanation:

We are given two points, (x, y) = {(5, 80), (3, 52)}. The 2-point form of the equation for a line can be used to find the equation.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (52 -80)/(3 -5)(x -5) +80 . . . . . fill in the given values

  y = (-28/-2)(x -5) +80 . . . . . simplify a bit

  y = 14x -70 +80 . . . . . eliminate parentheses; next, collect terms

  y = 14x +10