Question

A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?

Answer 1

y = -
`(1)/(2)` x + 3

Explanation:

y = mx + b

m =
`(y_(2) -y_(1) )/(x_(2) -x_(1) )` and "b" is y-intercept with coordinates (0, b)

(0, 3) ⇒ b = 3

(4, 1), (6, 0)

m =
`(0-1)/(6-4)` = -
`(1)/(2)`

y = -
`(1)/(2)` x + 3