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):

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-3}{3-0}=\frac{-12}{3}=-4 \\ m=-4 \end{gathered}$

• 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