Question

Which equation best describes a relationship between x and y in the table below?

Answer 1

y =
`(1)/(3)` x + 5

Explanation:

Slope m =
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`

y = mx + b , "b" is y-intercept with coordinates (0, b)

(0, 5)

(6, 7)

m =
`(7-5)/(6-0)` =
`(1)/(3)`

y =
`(1)/(3)` x + 5