# What is the slope of y - 4 = 10?

Jun 10, 2015

Either $0$, $4$ or $10$, depending on whether the question is correct as it stands, is missing an $x$ after the $- 4$ or after the $10$.

#### Explanation:

Let us rearrange each possibility into the slope-intercept form:

$y = m x + c$

where $m$ is the slope and $c$ the intercept:

Case 1: $y - 4 = 10$

Add $4$ to both sides to get:

$y = 0 x + 14$
slope = $0$

Case 2: $y - 4 x = 10$

Add $4 x$ to both sides to get:

$y = 4 x + 10$
slope = $4$

Case 3: $y - 4 = 10 x$

Add $4$ to both sides to get:

$y = 10 x + 4$
slope = $10$

Jun 10, 2015

The slope is zero.

#### Explanation:

Your equation represents a perfectly horizontal line and can be written as:
$y = 14$

Graphically:

The slope is a measure of the inclination of your line, so in this case, it is neither "up" nor "down", it is zero!