Question

Explain how to write a function rule from the table below. Then write a function rule.
x|2|4| 6
y|1|0|-1

Answer 1

@jim_thompson5910

Answer 2

notice how x increases by 2 each time

what is y decreasing by each time?

Answer 3

because they're polar opposite's?

Answer 4

I don't know what you mean here

Answer 5

That they are opposite's? I dont know

Answer 6

going from y = 1 to y = 0 is a decrease of 1, agreed?

Answer 7

yeah

Answer 8

going from y = 0 to y = -1 is also a decrease of 1, right?

Answer 9

yes

Answer 10

so because y goes down the same amount each time, this suggests we have a linear equation

Answer 11

x goes up by 2, y goes down by 1

slope = rise/run = -1/2 = -0.5

agreed? or no?

Answer 12

Oh okay this makes sense

Answer 13

now pick any point from the table, say (x,y) = (4,0)

use
m = -0.5
x = 4
y = 0

to find the equation of the line

y = mx+b
y = -0.5*x+b
0 = -0.5*4+b

solve for b