Question

Write a function rule for this table

Answer 1

Here, Find the slope:
m = y2-y1 / x2-x1
m = 57-34 / 2-1
m = 23

Now, y-y1 = m(x - x1)
y - 34 = 23(x - 1)
y - 34 = 23x - 23
y = 23x + 11

In short, Your Answer would be: y = 23x+11

Hope this helps!

Answer 2

dy/dx=57-34, 80-57, 103-80 =23 so again this is just a line with a slope of 23

y=23x+b, using point (1,34) to solve for b:

34=23(1)+b

b=11 so

y=23x+11