Question

How do you graph $y + 2 = 7$?

Answer 1

Hint: This problem deals with solving the linear equation with one variable. A linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1. Linear equations in one variable may take the form of $ay + b = 0$, and are usually solved for the variable $y$ using basic algebraic operations.

Complete step-by-step answer:
Given a linear equation in variable $y$, which is $y + 2 = 7$.
Consider the linear equation as given below:
$ \Rightarrow y + 2 = 7$
Now simplifying the above equation further by taking the number 2 to the right hand side of the equation, as shown below:
$ \Rightarrow y = 7 - 2$
Now the equation becomes:
$ \Rightarrow y = 5$
Observe that there is no parameter in $x$, so it can be any value here. It doesn’t matter what value of $x$ we take, as the solution is the same, which is $y = 5$.
So consider a point $\left( {0,5} \right)$, then take any graph, any other point where the $y$ coordinate is 5. Which is the graph of the function.

This graph is parallel to the x-axis, from here it is clearly evident that the equation of the line of the x-axis is written as $y = 0$.

Note:
Please note that the linear equations in one variable which are expressed in the form of $ay + b = 0$, have only one solution. Where a and b are two integers, and $y$ is a variable. This means that there will be no terms involving higher powers of $y$, not even the power of 2, which is ${y^2}$.