How do you find the slope of y=8?

2 Answers
Jun 1, 2017

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

Jun 1, 2017

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.