Question

Fill in the blank for the slope

Answer 1

The slope formula is:

$m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$

So for the first problem:

We can just put in the numbers. Just make sure to put them in, in the same order! $x_{2}$ and $y_{2}$ must be from the same ordered pair.

So this would then equal:
$m= \frac{1 - (-3)}{-8 - (-8)}$

Or m = 4 / 0

So in this case the slope would be undefined, because anything divided by 0 cannot be defined.

$m= \frac{-8 - (-8)}{-5 - 8}$

Or m = 0/-13

Which would equal 0.

Answer 2

Formula for slope: $\frac{y_2 - y_1}{x_2 - x_1}$


1) First, you would need to plug the coordinates into the formula. 
$\frac{-3 - 1}{8 + 8}$

Now, all you would have to do is solve and simplify. 
$\frac{-3 - 1}{8 + 8}$ = $\frac{-4}{0}$ = undefined

The slope is vertical. So it would be undefined.  

2) First, you would need to plug the coordinates into the formula. 
$\frac{-8 + 8}{8 + 5}$

Now, all you would have to do is solve and simplify. 
$\frac{-8 + 8}{8 + 5}$ = $\frac{0}{13}$ = 0

This slope is horizontal, so the slope would be 0. 

I hope this helps!