Question

How do you find the slope of y=8?

Answer 1

The equation `y = 8` by definition is a horizontal line. For each and every possible value of `x` `y` is equal to `8`.

By definition, the slope of a horizontal line is `m = 0`

Answer 2

slope = `0`

Explanation:

One way is to graph the equation. You'll notice that it's a horizontal line that crosses the y-axis at `8`. A horizontal line, by definition has a slope equal to `0`.

Another way is to compare the equation to the slope-intercept form of a line:

`y=mx+b`

where `m` is the slope and `b` is the y-intercept.

Since the equation we are given does not contain an `x` we now that `m=0`. We also know that `b=8`. That is consistent with the graph, since the equation "intercepts" the y-axis at `8`.