Find the function Rule.

Question

x= -2 -1 0 1 2
y= 9 4 -1 -6 -11

It's hard for me to find the answer. Please help me!

Answer 1

y goes down 5 when x goes up 1, so start with

y = -5x

adjust that, since when x=0, y = -1.

Answer 2

Notice the y values decrease by 5 while the x values increase by 1, so the slope is a constant -5

thus the equation is y = -5x + b
notice that the pair (0,-1) is the y-intercept which is what the b stands for , so ...

y = -5x - 1

check it with some of the other given values, it is correct