Write a function in the form y=mx+b for the line that passes through the points (2,4) and (6,16)

Step-by-step explanation:

(2,4) and (6,16)

y2 = 16, y1 = 4, x2 = 6 and x1 = 2

Slope m = {y2 - y1}/{x2 - x1}

m = {16 - 4}/{6 - 2}

m = 12/4

m = 3

The equation of line

y - y1 = m(x - x1)

y - 4 = 3(x - 2)

y - 4 = 3x - 6

y = 3x - 6 + 4

y = 3x - 2

the functions have the same rate of change i think. i narrowed it down to this answer and "the rate of change of tour 1 is greater" but i got it wrong using that answer so im assuming its the answer above. (this is a question i also answered from the iready site if anyone needs a reference)