Question

Find the function rule

(-2,9) (-1,4) (0,-1) (1,-6) (2,-11)

I think the function rule is you subtract 5 from the y as you go on.

Answer 1

y = - ( 5 x + 1 )


x = - 2

y = - [ 5 * ( - 2 ) + 1 ] = - ( - 10 + 1 ) = - ( - 9 ) = 9


x = - 1

y = - [ 5 * ( - 1 ) + 1 ] = - ( - 5 + 1 ) = - ( - 4 ) = 4


x = 0

y = - ( 5 * 0 + 1 ) = - ( 0 + 1 ) = - 1


x = 1

y = - ( 5 * 1 + 1 ) = - ( 5 + 1 ) = - 6


x = 2

y = - ( 5 * 2 + 1 ) = - ( 10 + 1 ) = - 11


Of course you can write:

- ( 5 x + 1 ) = - 5 x -1