Question

How do you graph $y=1.5x$ ?

Answer 1

Hint: Here we have to plot a graph. In this given equation by giving the values to the x like 0, 1, 2, 3, … simultaneously we get the values of y with respect to the x value. after getting the x and y values, write the coordinates of the given equation in the form of (x,y), by using the coordinates to construct the required graph of the given equation.

Complete step-by-step answer:
Given equation in the form of linear equation in the form of two variables x and y
Consider the equation $y=1.5x$
Now, by giving the x values 0, 1, 2, 3, … to the above equation simultaneously we get the values of y
When we substitute the value of x=0
Then $\Rightarrow y=1.5\left(0\right)$
 $\therefore y=0$
Therefore, coordinate $\left(x,y\right)=\left(0,0\right)$
When we substitute the value of x=2
 $\Rightarrow y=1.5\left(2\right)$
 $\therefore y=3$
 Therefore, coordinate $\left(x,y\right)=\left(2,3\right)$
When we substitute the value of x=4
 $\Rightarrow y=1.5\left(4\right)$
 $\therefore y=6$
 Therefore, coordinate $\left(x,y\right)=\left(4,6\right)$
When we substitute the value of x=6
 $\Rightarrow y=1.5\left(6\right)$
 $\therefore y=9$
 Therefore, coordinate $\left(x,y\right)=\left(6,9\right)$
When we substitute the value of x=8
 $\Rightarrow y=1.5\left(8\right)$
 $\therefore y=12$
 Therefore, coordinate $\left(x,y\right)=\left(8,12\right)$
And so on …
Hence by substituting the value of x we have determined some of the values or points we use to plot the graph.
The coordinates can be written in table as :

$x$	$0$	$2$	$4$	$6$	$8$
$y$	$0$	$3$	$6$	$9$	$12$
$\left(x,y\right)$	$\left(0,0\right)$	$\left(2,3\right)$	$\left(4,6\right)$	$\left(6,9\right)$	$\left(8,12\right)$

Now, the graph of the given linear equation $y=1.5x$ by using the above table as follows:

Note: The graph is plotted x-axis versus y axis. The graph is two dimensional. By the given equation write it for y and consider it as a graph equation. By the equation of a graph, we can plot the graph by assuming the value of x. We can’t assume the value of y. because the value of y depends on the value of x. hence, we have plotted the graph.