Question

How do you write the equation of a line with slope \[0\] and y-intercept \[5\]?

Answer 1

Hint: In the given question, we have been given some information about the equation of a line. We have to write the equation of such a line. To do that, we first convert the given equation to slope-intercept form. Then we write the terms equal to their given value, put in the values in the standard equation, and get our answer.

Formula Used:
The standard form of a linear equation in slope-intercept form is:
\[y = mx + b\]

Complete step by step answer:
In the given question, we have been given the data that,
slope \[ = 0\] and y-intercept \[ = 5\]
The standard form of a linear equation in slope-intercept form is:
\[y = mx + b\]
Here, \[m\] is the slope and \[b\] is the y-intercept.
So, \[m = 0\] and \[b = 5\].
Now, we put in the value in the standard form of equation and we get,
\[y = \left( 0 \right)x + 5 \Rightarrow y = 5\]

Hence, the equation of the given line is \[y = 5\].

Additional Information:
The meaning of slope is run divided by rise, i.e., \[\dfrac{{coefficient{\text{ }}of{\text{ }}x}}{{coefficient{\text{ }}of{\text{ }}y}}\].
A slope can also be defined as (Change in y)/(Change in x).

Note:
In this question, we only need to know one thing – what the standard form of the equation is. We then put in the values of the terms, put the terms in the standard equation, and get our answer. The only requirement from our side is that we should know what the standard form of the equation is and how we use it.