Question

Which equation is represented by the table of values below

Answer 1

Choosing two points: A(0, 3) and B(3, -9)

• Sope (m):

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1)=(-9-3)/(3-0)=(-12)/(3)=-4 \\ m=-4 \end{gathered}`

• Find b: choosing point A

y = mx + b

`\begin{gathered} y=mx+b \\ 3=-4\cdot(0)+b \\ b=3 \end{gathered}`

• Education:

`\begin{gathered} y=m\cdot x+b \\ y=-4x+3 \end{gathered}`

Answer: A. y= -4x + 3