Question

How do you graph the line $y = - 2$ by plotting points?

Answer 1

Hint: In the given question, we have to draw the graph for the line whose equation is provided to us in the question itself as $y = - 2$. So, we first find some points lying on the straight line and make a table of coordinates of the points. Then, we plot these points on the graph and the line passing through them.

Complete step by step answer:
We have to plot the graph for the given equation $y = - 2$.
We first represent the equation of a line in general form as $ax + by + c = 0$
So, we get, $0x + 1y + 2 = 0$
First, we have to find the value of y by using the graph equation $0x + 1y + 2 = 0$. Let us substitute the value of x as $0$, $2$, and $4$.
Now we consider the value of x as $0$, the value of y is
$ \Rightarrow 0\left( 0 \right) + 1y + 2 = 0$
$ \Rightarrow y = - 2$
Now we consider the value of x as $2$, the value of y is
$ \Rightarrow 0\left( 2 \right) + 1y + 2 = 0$
$ \Rightarrow y + 2 = 0$
$ \Rightarrow y = - 2$
Now we consider the value of x as $4$, the value of y is
$ \Rightarrow 0\left( 4 \right) + 1y + 2 = 0$
$ \Rightarrow y + 2 = 0$
$ \Rightarrow y = - 2$
Now we will add the data to the table for these values,

x	$0$	$2$	$4$
y	$ - 2$	$ - 2$	$ - 2$

The graph plotted for these point is represented below:

Note: The graph has two axes: x-axis and y-axis. x-axis is the horizontal axis and the y-axis is the vertical axis. The slope of the line is denoted by ‘m’ and tells the rate of change of y with respect to x. y is the dependent variable and x is the independent variable. The graph that we have plotted has a scale of one unit square representing one unit. The slope of the line plotted is zero as it makes an angle of zero degrees with the positive direction of the x axis.