Write the function

Question

Determine whether the relationship shows a linear function. If so, write the function.

The chart has x on the left with the numbers 1,2,3,4,5 and y on the right with the numbers 9,6,3,0,-3

what is the function?

Answer 1

With every increase in x y decreases by 3 so you have a linear function with a slope of -3 so your equation is

y= -3x+b. To solve for b you can use any point [ lets use( ]1,9) ] and substitute these values forms and y

9= -3(1) + b

b=12

so equation is y=-3x+12