Question

How do you graph \[y=3\] using slope intercept form?

Answer 1

Hint: From the question given, we have been asked to draw the graph of \[y=3\] using the slope intercept form. We can solve the given question by knowing about the slope intercept form. The general form of the equation of a straight line in line \[\left( m \right)\] and intercept \[\left( c \right)\] form is \[y=mx+c\].

Complete step by step answer:
Now considering from the question we need to draw the graph of $y=3$ using the slope-intercept form.
We have to know the equation of the slope intercept form and then by using that slope intercept form we can draw the graph for the given question.
Slope-intercept form:
The equation of a straight line in line \[\left( m \right)\] and intercept \[\left( c \right)\] form is \[y=mx+c\]
The above written form is the general form of the slope intercept form where, \[m\] in the slope intercept form indicates slope of the given line equation and \[c\] in the slope intercept form indicates intercept of the given equation.
From the question, we have been given that, \[y=3\]
We have to compare the above given line equation from the question given with the general form of the slope intercept form.
By comparing the given line equation from the question and general form of the slope intercept form, we get \[m=0\]
Therefore, we can say that, \[y\] is independent of \[x\].
Hence, our graph is a horizontal straight line through \[\left( 0,3 \right)\] or any other value of \[x\].
The graph is shown below:

The above graph indicates \[y=3\].

Note: We should be well aware of the slope intercept form. Also, we should be well known about drawing the graphs. Also, we should be very careful while plotting the points in the graph. Also, we should be very careful while comparing the given equation and general form of the equation of slope-intercept form. We can also draw the graph of $y=3$ by marking the different corresponding points for different values of $x$ and we need to join them to form a straight line. If we observe carefully for any value of $x$ there will be a constant value of $y$ which is $3$ .