Question

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

Answer 1

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=mx+c` where m represents the slope

That in itself is a clue!

Add 27 to both sides

`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:`" "m= (y_2-y_1)/(x_2-x_1)`

But `x` is fixed at 33 so we have

`m= (y_2-y_1)/(33-33)`

`m= (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