Which function has the greatest rate of change?

a.
6x – 7y = 21

b.
y = 2x – 2

c.
x y
2 7
3 13
4 19

The rate of change is the slope...and in y = mx + b form, the slope is in the m position. So we need to put the equations in y = mx + b form.

A. 6x - 7y = 21
-7y = -6x + 21
y = 6/7x - 2so the slope here is 6/7 or 0.857

B. y = 2x - 2this is already in the form we need...the slope is 2

C. (2,7)(3,13)
slope = (13-7) /(3-2) = 6/1 or just 6

the slope with the greatest rate of change is gonna be the one with the highest slopeand that would be C.