Question

What is the slope and intercept of `y = -2`?

Answer 1

`m=0`, y-intercept = -2

Explanation:

To answer this, I'll first present a graph of the equation:

graph{y=x(0)-2 [-10, 10, -5, 5]}

Slope is defined as the change in y divided by the change in x, or another way to put it is rise over run. Looking at the graph, the change in y is 0 - the graph is a horizontal line. And so slope = 0.

The y-intercept is defined as the point where the line intersects the y-axis. We can see that that occurs at y=-2.

The x-intercept is defined as the point where the line intersects the x-axis. Because the line is horizontal, the line will never intersect the x-axis. So we can say that the x-intercept is undefined.