Question

Complete the given tables and draw a graph for each.

$x$	$0$	$1$	$2$	$3$
$y=3x+1$	$1$	$4$	__	__

Answer 1

Step 1: Find the value of $y$, when $x=2$

Given: $y=3x+1$

Substitute $x=2$in the given equation:

$$\begin{gathered} y=3\times 2+1 \\ \Rightarrow y=6+1 \\ \Rightarrow y=7...\left(i\right) \end{gathered}$$

Step 2: Find the value of $y$, when $x=3$.

Substitute $x=3$ in the given equation::

$$\begin{gathered} y=3\times 3+1 \\ \Rightarrow y=9+1 \\ \Rightarrow y=10...\left(ii\right) \end{gathered}$$

Step 3: Complete the given table.

Use $\left(i\right)$ and $\left(ii\right)$ to complete the table:

$x$	$0$	$1$	$2$	$3$
$y=3x+1$	$1$	$4$	$7$	$10$

Step 4: Draw the required graph.

Hence, the table and the graph of the given equation are as follow:

$x$	$0$	$1$	$2$	$3$
$y=3x+1$	$1$	$4$	$7$	$10$