# How do you find the slope and y-intercept given 6x=12?

Jul 18, 2015

Slope is indeterminate and never crosses the $y$ axes.

#### Explanation:

Your equation represents a vertical line that you can write as:
$x = \frac{12}{6}$ or:
$x = 2$
The slope of this line is indeterminate and it never crosses the $y$ axis.
Considering that the slope is given as: $\frac{\Delta y}{\Delta x}$
you have that $\Delta x = 2 - 2 = 0$ always!
so your slope will be a division by zero, that is indeterminate (you cannot evaluate it)..