How do you find the slope given #x = -3#?

1 Answer
Jul 29, 2015

The slope is indeterminate.

Explanation:

Your line is perfectly vertical. Every time you choose a value for #y# the value of #x# is ALWAYS #-3#.
From the definition of slope you have:
Slope#=(Deltay)/(Deltax)#
Let us choose two values of #y#:
#y=5 and y=10# the corresponding #x# will be #-3 and -3# so:
Slope#=(10-5)/(-3+3)=5/0# that cannot be evaluated.
Your slope is indeterminate.