# How do you find the slope and intercept to graph x-27=6?

Feb 23, 2016

Only 1 intercept and that is $x = 33$
The slope is undefined.

#### Explanation:

First off, notice that there is no $y$ as in standard form of straight line graph equation: $y = m x + c$ where m represents the slope

That in itself is a clue!

$x - 27 + 27 = 6 + 27$

$x + 0 = 33$

$x = 33$

In this form the equation is that of a line perpendicular to the x-axis passing through $x = 33$

The term slop implies change in y related to change in x

So we have:$\text{ } m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

But $x$ is fixed at 33 so we have

$m = \frac{{y}_{2} - {y}_{1}}{33 - 33}$

$m = \frac{{y}_{2} - {y}_{1}}{0}$ mathematically you are 'not allowed' to divide by 0

The technical term for this 'not defined'

So the slope is not defined