Answer to Question #285703 in Algebra for khaled

Question

x 0 1 2 3 y 8 1 −6 −13

What is an equation that describes the relationship?

Answer 1

Let $y=kx+b$

$$y(0)=b=8=>b=8$$

$$y=kx+8$$

$$y(1)=k+8=1=>k=-7$$

Then $y=-7x+8.$

Check

$$y(2)=-7(2)+8=-6=-6, True$$

$$y(3)=-7(3)+8=-13=-13, True$$

Answer:

$$y=-7x+8$$