Answer 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 d. a linear function that goes through point 1, 2 and point 0, negative 1

C  it has the largest rate of change

Step-by-step explanation:

To find the greatest rate of change, we need the largest slope

In equation form y =mx +b where y is the slope

A. 6x – 7y = 21

    Solve for y

 Subtract 6x from each side

-7y = -6x+21

Divide by -7

y = 6/7x + 21/7

The slope is 6/7

B. y = 2x – 2

The slope is 2

C. x  23  4

   y  7      13      19

slope = (y2-y1)/(x2-x1)

       = (19-7)/(4-2)

        = 12/2

        =6

D. A linear function that goes through point 1, 2 and point 0, negative 1

 (1,2)  (0,-1)

slope = (y2-y1)/(x2-x1)

       = (-1-2)/(0-1)

        = -3/-1

        =3