Question

How do you find the slope of $y=3$?

Answer 1

In the given question, we have been given an equation in two variables. We have to find the slope of the given equation. To do that, we first convert the given equation to slope-intercept form. From there, we find out the value of slope and also can get the y-intercept if required.

Formula Used:
The standard form of a linear equation in slope-intercept form is:
$y=mx+b$,
Where $m$ is the slope of the line.

Complete step by step solution:
The given equation is $y=3$.
The given equation can be simply written as $y=0x+3$
Clearly, this equation is of the type $y=mx+b$, hence, is already in the slope-intercept form.

Thus on comparing the equations, slope $m=0$

Note:
In this question, we only need to know one thing – how to convert the equation in slope-intercept form, and then we just compare the derived equation with the standard equation for the values of the slope and the intercept and that gives us the answer. The other way to get the slope of the equation is by getting $\dfrac{y}{x}$.