Question

How do you graph the line $x - 2y = 4$?

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. 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:
Here in this question, we have to plot the graph for the given equation $x - 2y = 4$.
First, we have to find the value of y by using the graph equation $x - 2y = 4$. 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 - 2y = 4$
$ \Rightarrow y = \dfrac{4}{{ - 2}} = - 2$
Now we consider the value of x as $2$, the value of y is
$ \Rightarrow 2 - 2y = 4$
$ \Rightarrow - 2y = 4 - 2$
$ \Rightarrow y = \dfrac{2}{{ - 2}} = - 1$
Now we consider the value of x as $4$, the value of y is
$ \Rightarrow 4 - 2y = 4$
$ \Rightarrow - 2y = 4 - 4$
$ \Rightarrow - 2y = 0$
$ \Rightarrow y = 0$
Now we draw a table for these values we have

x	$0$	$2$	$4$
y	$ - 2$	$ - 1$	$0$

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.