Question

Fill in the blank for the slope

Answer 1

Formula for slope:
`(y_2 - y_1)/(x_2 - x_1)`


1) First, you would need to plug the coordinates into the formula.

`(-3 - 1)/(8 + 8)`

Now, all you would have to do is solve and simplify.

`(-3 - 1)/(8 + 8)` =
`(-4)/(0)` = undefined

The slope is vertical. So it would be undefined.

2) First, you would need to plug the coordinates into the formula.

`(-8 + 8)/(8 + 5)`

Now, all you would have to do is solve and simplify.

`(-8 + 8)/(8 + 5)` =
`(0)/(13)` = 0

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

I hope this helps!

Answer 2

The slope formula is:


`m = ( 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= (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= (-8 - (-8))/(-5 - 8)`

Or m = 0/-13

Which would equal 0.