Question

How do you plot the graph of the equation $y = 3x - 4$ ?

Answer 1

Hint: Try to draw it on a graph paper, and keep the scale $1$ or $2$. Find some values for $x$ and $y$ by putting random values of one of them in the given equation, so that you will get the value of the other one. Do not take larger random values, go for values like $0,\;1,\;2,$ etc.

Complete answer:
Now, firstly we have to find some values of $x$ and $y$, we will put some values of $x$ in the equation and then get respective values of $y$ For this we will create a table in which we will write the values of $x$ and $y$, creating the table below.

Random values of $x$	Value of $y = 3x - 4$
$0$	$y = 3 \times 0 - 4 = 0 - 4 = - 4$
$1$	$y = 3 \times 1 - 4 = 3 - 4 = - 1$
$ - 1$	$y = 3 \times ( - 1) - 4 = - 3 - 4 = - 7$
$2$	$y = 3 \times 2 - 4 = 6 - 4 = 2$

Now, you can see in the table, how we have calculated the value of $y$ by putting random values of $x$ in the above equation. Now, we have the three coordinates of the required graph, i.e.$(0,\; - 4),\;(1,\; - 1),\;( - 1,\; - 7)$ and $(2,\;2)$. So, we will now plot these three points on the graph.

So, we have plotted all the points on the graph, now we have to draw a line passing through these points. So let’s draw the line,

Here we get the required graph of the equation $y = 3x - 4$, you should also try this method for another type of equation.

Note: Always try to get smaller numbers so that you can easily plot the graph of the given equation. But, if you are getting larger values $x$ and $y$ from the equation itself, then you should take larger values of the scale on the graph.