Question

What is the slope and intercept of the line $y=7$?

Answer 1

In this problem we need to calculate the slope and intercept of the given line. We know that the slope and intercept of a line are easily calculated from its slope intercept form. The equation of the line with slope $m$, intercept $c$ is given by $y=mx+c$ which is called as slope intercept form. So, we will convert the given equation of the line into slope intercept form and compare both the equations to get the required result.

Complete step by step solution:
Given equation of the line is $y=7$.
The equation of the line with slope $m$, intercept $c$ in slope intercept form is given by $y=mx+c$.
We can observe that the given equation has no $x$ terms. So, we are going to introduce $x$ term with $0$ coefficient, then the given equation is modified as
$y=0x+7$
Now comparing the above equation with slope intercept form $y=mx+c$, then we will get
$m=0$, $c=7$

Hence the slope and intercept of the given equation $y=7$ are $0$, $7$ respectively.
The graph of the given equation will be

Note: To solve this type of problems some of the data is very useful in fact by using this data we can simplify calculate the required answer in one step. In geometry the lines which are parallel to the $x$ axis have $0$ slope since the $x$ axis has $0$ slope. The lines which are parallel to $y$ axis have infinity slope since $y$ axis has infinity slope.