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