Question

Find the slope of the line that passes through the pints (2,7) and (2,6)

Answer 1

m=undefined

Explanation:

The formula to find the slope isn't very complicated. The formula is:

y₂-y₁

m= --------

x₂-x₁

You have the points (2,7) and (2,-6). In (2,7) 2 is your x and 7 is your y. Since (2,7) is your first coordinate set, we put 2 as our x₁ . We put 7 as our y₁ .

In (2,-6) 2 is your x and -6 is your y. Since (2,-6) is your second coordinate set, we put 2 as our x₂ . We put -6 as our y₂ .

Let's substitute all of these numbers in:

-6-7 -13

m= ------- = -------

2-2 0

So we have -13/0 .You would think that any number divided by 0 is 0, right?

No. Any number divided by 0 is undefined.

Therefore, you slope, m, would be:

m=undefined .

Answer 2

Undefined Slope

Explanation:

The points (2,6) and (2,7) are on the same vertical line of 2, which results in an undefined slope.