What is the slope of any line perpendicular to the line passing through #(-2,7)# and #(-2,3)#?
I'll be using slope-intercept form,
A perpendicular line is a line with a slope that is both the inverse and the reciprocal of the original slope. For example,
To find the slope, use the rise-over-run formula of
This will be a special case. Since dividing by 0 is undefined, this makes your slope undefined. Contrary to the rules explained above, which should work for all other questions, your slope in this case is a perfectly horizontal line, as undefined is perfectly vertical.
A horizontal line is called a slope of zero. As you'll see, the name is quite fitting, because your answer is: