I need to find the slope if it exists for (8,4) and (9,-2)...any help is appreciated

4 answers

the only way for the slope not to exist if you have a vertical line.
for that to happen the change in the x's has to be zero.
I see the change in x as 9-8 or 1, so ......
so there's no slope for these ordered pairs?
Yes there is
Slope = (change in the y's)/(change in the x's)

slope = (-2-4)/(9-8)
= -6/1
= -6
Yoy only specified two ordered pairs or "points". Points by themselves do not have a slope.

You shoulds have asked for the slope for the straight line BETWEEN or CONNECTING those points. That is what Reiny provided.