[tex]\huge\boxed{Hi!}[/tex]
We are given 2 points that the line passes through, so we can determine its slope by using this formula:
[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]
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:
[tex]\displaystyle\frac{9-5}{12-12}[/tex]
Subtract:
[tex]\displaystyle\frac{4}{0}[/tex]
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:
[tex]\bigstar[/tex] If we are given 2 points, and their x-coordinates are the same, then the slope of the line is undefined.
[tex]\bigstar[/tex] 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 ;)
[tex]\bf{erutaNtneliS[/tex]