Question

Write a rule for the linear function in the table. x f(x) –3 –1 0 2 3 5 6 8

Answer 1

So the points are
(x,f(x))
(-3,-1)
(0,2)
(3,5)
(6,8)

hmm, find slope

slope betweeen 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
slope betwen (0,2) and (3,5) Is (5-2)/(3-0)=3/3=1

y=mx+b
m=slope
b=y intercept
given slope=1

y=1x+b
find b

input a point
(3,5)
x=3 and y=5
5=1(3)+b
5=3+b
2=b


y=1x+2 is the equaiton