Question

How do you find five ordered pairs of $y=3x-2$?

Answer 1

Hint: To obtain the ordered pairs first take any five values of ‘x’. Then substitute those values of ‘x’ in the given equation to get corresponding ‘y’ values. The ‘x’ and ‘y’ values in the form (x, y) will be the required ordered pairs.

Complete step by step solution:
Ordered pairs: These are the set of ‘x’ and ‘y’ coordinates, for which the equation gets satisfied.
Ordered pairs are denoted as (x, y)
To obtain five ordered pairs of the given equation, we have to take five different ‘x’ values and substitute into the equation for corresponding values of ‘y’.
Let the values of ‘x’ are 0, 1, 2, 3 and 4
Putting x=0 in $y=3x-2$, we get
$\begin{align}
  & \Rightarrow y=3\times 0-2 \\
 & \Rightarrow y=0-2 \\
 & \Rightarrow y=-2 \\
\end{align}$
So, the ordered pair is (0, $-2$)
Putting x=1 in $y=3x-2$, we get
$\begin{align}
  & \Rightarrow y=3\times 1-2 \\
 & \Rightarrow y=3-2 \\
 & \Rightarrow y=1 \\
\end{align}$
So, the ordered pair is (1, 1)
Putting x= 2 in $y=3x-2$, we get
$\begin{align}
  & \Rightarrow y=3\times 2-2 \\
 & \Rightarrow y=6-2 \\
 & \Rightarrow y=4 \\
\end{align}$
So, the ordered pair is (2, 4)
Putting x=3 in $y=3x-2$, we get
$\begin{align}
  & \Rightarrow y=3\times 3-2 \\
 & \Rightarrow y=9-2 \\
 & \Rightarrow y=7 \\
\end{align}$
So, the ordered pair is (3, 7)
Putting x=4 in $y=3x-2$, we get
$\begin{align}
  & \Rightarrow y=3\times 4-2 \\
 & \Rightarrow y=12-2 \\
 & \Rightarrow y=10 \\
\end{align}$
So, the ordered pair is (4, 10)
These are the five required ordered pairs.

Note:
The ordered pairs can also be obtained by taking any values of ‘x’ beside 0, 1, 2, 3 and 4. As the name “ordered pair” suggests, the order in which values are written in a pair is very important. For example, the ordered pair (2, 4) is different from the pair (4, 2).