Question

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

Answer 1

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 = mx + c`

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

Case 1: `y - 4 = 10`

Add `4` to both sides to get:

`y = 0x + 14`
slope = `0`

Case 2: `y - 4x = 10`

Add `4x` to both sides to get:

`y = 4x+10`
slope = `4`

Case 3: `y - 4 = 10x`

Add `4` to both sides to get:

`y = 10x + 4`
slope = `10`

Answer 2

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!