Question

(0,1), (1,5),(2,9), (3,13),(4,17) what is rule function

Answer 1

The rule function of the points is the function y = 4x + 1.


`m = (y_(2) -y_(1))/(x_(2) - x_(1)) = (17 - 1)/(4 - 0) = (16)/(4) = 4`

y - y₁ = m(x - x₁)
y - 1 = 4(x - 0)
y - 1 = 4(x) - 4(0)
y - 1 = 4x - 0
+ 1 + 1
y = 4x + 1