Question

Who’s right? And why?

Answer 1

$\huge\boxed{Hi!}$

We are given 2 points that the line passes through, so we can determine its slope by using this formula:

$\displaystyle\frac{y2-y1}{x2-x1}$

However, there's a shortcut.

If you look at the two points, you will see that the x-coordinates of these 2 points are the same.

Let's plug in the numbers and see what we get:

$\displaystyle\frac{9-5}{12-12}$

Subtract:

$\displaystyle\frac{4}{0}$

Do you see what I see?

Remember, we cannot divide by zero, because division by 0 is

undefined.

Thus, the slope of the line is also undefined.

Now, is Phoebe right? Yes, sure!

The slope of the given line is undefined.

Here's something you should remember:

$\bigstar$ If we are given 2 points, and their x-coordinates are the same, then the slope of the line is undefined.

$\bigstar$ If we are given 2 points, and their y-coordinates are the same, then the slope of the line is 0.

Hope it helps! Enjoy your day!

~Just a determined gal

*The crown would be greatly appreciated ;)

$\bf{erutaNtneliS$