Question

What is the slope of (-23,4) and (-4, 5)?

Answer 1

The slope is a number that tells you how `y` varies when `x` varies and basically gives you the INCLINATION of the line, in this case, in between two points.

To evaluate this number you simply look at the change in `y` divided by the change in `x` or:

`slope=m=(Deltay)/(Deltax)=(y_2-y_1)/(x_2-x_1)`

`m=(5-4)/(-4-(-23))=1/19`
or starting from the other point:
`m=((4)-5)/(-23-(-4))=(-1)/-19=1/19`

Which is a positive number meaning that your line is inclined upwards, i.e., when `x` increases also `y` increases (in particular, when `x` increase of `1` units `y` increases of `1/19`).

Graphically:

hope it helps