Question

What is the slope of (-6,8) and (-6,2)

Answer 1

Undefined

Explanation:

First, slope is change in y over change in x, or rise over run. Plugging these points in (y1-y2)/(x1-x2)=(2-8)/(-6--6), or -6/0. Oh no! You can't divide by 0. Therefore, the slope is undefined.

You can also see this by graphing the line, which is a straight vertical line. Vertical lines have undefined slopes.

Answer 2

Undefined

Explanation:

The formula for slope is y1-y2/x1-x2

This is where:

y1 is the y coordinate of the first point

y2 is the y coordinate of the second point

x1 is the x coordinate of the first point

x2 is the x coordinte of the second point

Keep in mind, a point is always (x coordinate, y coordinate)

This said we can plug our values in.

8-2/-6-(-6)

Now, we simplify.

6/0

Since you can't divide a number by 0, the slope of the line would be undefined.

This happens when a line is vertical, and only goes through one x value.