Question

How do you graph $x=-1$?

Answer 1

Hint: In the above problem, we are asked to graph the straight line i.e. $x=-1$. As there is no y variable in this straight line equation so this line is parallel to y axis. And this problem becomes simpler because we have given the value of x on which we will draw the straight line parallel to y – axis.

Complete step by step solution:
The equation of a straight line which is given in the above problem and which we have to draw on the graph is as follows:
$x=-1$
The above equation is showing that the value of x is always -1 means this straight line equation is parallel to y axis and the line parallel to y axis is passing through x axis at -1 in the negative direction.
Now, we are going to draw this equation of straight line on the graph and the drawing is done in such a way so that the straight line parallel to y axis will pass through the value of $x=-1$ and we get,

Hence, we have drawn the equation of straight line $x=-1$ given in the above problem.

Note: The alternate approach to solve the above problem 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:
$x=-1$
Rewriting the above equation in the form of $y=mx+c$ by subtracting 2 on both the sides we get,
$0y+x=-1$
Subtracting –x on both the sides of the above equation we get,
$0y=-1-x$
Now, on comparing the above equation by $y=mx+c$ we have got the value of $m=\dfrac{1}{0}\And c=-1$. Now, “m” is the slope and “c” is the y intercept so the slope of this line is not defined means the line is parallel to y axis and the x intercept is -1 means the line cuts the x axis at -1.