Question

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

Answer 1

Hint: To graph the above straight line equation i.e. $y+2=7$. As there is no x variable in this straight line equation so this line is parallel to the x axis. So, we are going to simplify this equation and find the value of y where the straight line parallel to x axis is cutting the y axis.

Complete step by step solution:
The equation of a straight line which we have to draw on the graph is as follows:
$y+2=7$
Simplifying the above equation by subtracting 2 on both the sides we get,
$\begin{align}
  & \Rightarrow y=7-2 \\
 & \Rightarrow y=5 \\
\end{align}$
The above equation is showing that the value of y is always 5 means this straight line equation is parallel to x axis and the line parallel to x axis is passing through y axis at 5 in the positive direction.
Now, we are going to draw this equation of straight line on the graph and we get,

Hence, we have drawn the equation of straight line $y+2=7$ given in the above problem.

Note: The alternate way to solve the above problem which is that first of all we are going to write the given equation in the form of $y=mx+c$. The equation given above is:
$y+2=7$
Rewriting the above equation in the form of $y=mx+c$by subtracting 2 on both the sides we get,
$\begin{align}
  & \Rightarrow y=7-2 \\
 & \Rightarrow y=5 \\
\end{align}$
As there is no x term so we can write the coefficient of x as 0 then the above equation will look like:
$y=0x+5$
Now, on comparing the above equation by $y=mx+c$ we have got the value of $m=0\And c=5$. Now, “m” is the slope and “c” is the y intercept so the slope of this line is 0 means the line is parallel to the x axis and the y intercept is 5 means the line cuts the y axis at 5 in the positive direction.