Question

Find the slope of the line passing through the points (5, 6) and (5, -7).

Answer 1

Undefined

Explanation:

The slope equation:

`m=(y2-y1)/(x2-x1)`

Assign positions:

(5,6) = (x1,y1)

(5,-7) = (x2,y2)

Enter into the equation:

`m=(-7-6)/(5-5)`

Simplify:

`m=(-13)/(0)`

So, in this problem, the slope is undefined.

Actually, when you first look at your points you can tell that it is going to be undefined because the x's are the same. If you were to graph it, it would be vertical which always has an undefined slope.

Hope this helped!