Which of the function rules below would result in the following graph?
On a coordinate plane, a line goes through (2, 2) and (6, 4).
a.
y = 0.5 x + 1
c.
y = 2 x + 1
b.
y = 0.5 x minus 1
d.
y = two-thirds x + 1

Respuesta :

To find out, plug x=2 into each equation and see if the y-value works out to be 2:

a: y = 0.5(2) + 1 = 2  check

b. y = 2(2) + 1 = 5  no

c. y = 0.5(2) - 1 = 0  no

d. y= (2/3) (2) +1 = 7/3 no.

The only one that checks is a, but let's make sure (6,4) also check:

a. y= 0.5(6) + 1 = 4  check.

The answer must be A.