Question

The following set of ordered pairs of the form (x,y) lie on the graph of a function of x. {(0, -1), (1, 2), (2, 5), (3, 8)} Which equation describes the function?

Answer 1

We can assume that it is aline
y=mx+b
m=slope
b=yintercpt

if you have th epoints (x1,y1) and (x2,y2)
slope=(y2-y1)/(x2-x1)

pick any 2 points
(1,2) and (2,5)
slope=(5-2)/(2-1)=3/1=3

y=3x+b
solve for b
sub a points
(x,y)
(0,-1)
-1=3(0)+b
-1=0+b
-1=b

the equation is y=3x-1

or infunction form
f(x)=3x-1