Question

Which description best compares the graphs of the two functions below?​

Answer 1

Function: A is given by:

          y=3x-2y=3x−2

and   Function: B is given by the help of a equation:

      y=\dfrac{1}{3}x-2y=31x−2

( since from the table we may see that with a increase of x by 3 units the y-value also increases by 1 units.

This means that the slope is constant and hence the function is linear.

As we see that the function passes through (0,-2) and (6,0)

Hence, the equation is given by:

\begin{gathered}y-(-2)=\dfrac{0-(-2)}{6-0}\times (x-0)\\\\\\y+2=\dfrac{2}{6}x\\\\\\y+2=\dfrac{1}{3}x\\\\\\y=\dfrac{1}{3}x-2\end{gathered}y−(−2)=6−00−(−2)×(x−0)y+2=62x