SOLUTION: find the slope. throug (4,-2) and parallel to x=1

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Question 240825: find the slope. throug (4,-2) and parallel to x=1
Answer by Edwin McCravy(6937) About Me  (Show Source):
You can put this solution on YOUR website!
find the slope. through (4,-2) and parallel to x=1
That's a vertical line, and it has NO slope!

All equations of the form 

x = a

are vertical lines which are " a " units from the y-axis.

The vertical line whose equation is x = 1 is this green
line below:

drawing%28400%2C400%2C-5%2C5%2C-5%2C5%2C%0D%0Agraph%28400%2C400%2C-5%2C5%2C-5%2C5%29%2C%0D%0Agreen%28line%281%2C-6%2C1%2C6%29%29+%29

The point (4,-2) is this point plotted below:

drawing%28400%2C400%2C-6%2C6%2C-6%2C6%2C%0D%0Agraph%28400%2C400%2C-6%2C6%2C-6%2C6%29%2C%0D%0Agreen%28line%281%2C-7%2C1%2C7%29%29%2C%0D%0A%0D%0Aline%284%2B.1%2C-2%2C4-.1%2C-2%29%2C+line%284%2C-2%2B.1%2C4%2C-2-.1%29%2Cline%284%2B.1%2C-2%2B.1%2C4-.1%2C-2-.1%29%2Cline%284%2B.1%2C-2-.1%2C4-.1%2C-2%2B.1%29%2C+locate%284.2%2C-2%2C%27%284%2C-2%29%27%29+%0D%0A%0D%0A+%29

The line parallel to the vertical line whose
equation is x = 1 which goes through the point
(4,-2) is the blue vertical line below:

drawing%28400%2C400%2C-6%2C6%2C-6%2C6%2C%0D%0Agraph%28400%2C400%2C-6%2C6%2C-6%2C6%29%2C%0D%0Agreen%28line%281%2C-7%2C1%2C7%29%29%2C%0D%0A%0D%0Aline%284%2B.1%2C-2%2C4-.1%2C-2%29%2C+line%284%2C-2%2B.1%2C4%2C-2-.1%29%2Cline%284%2B.1%2C-2%2B.1%2C4-.1%2C-2-.1%29%2Cline%284%2B.1%2C-2-.1%2C4-.1%2C-2%2B.1%29%2C+locate%284.2%2C-2%2C%27%284%2C-2%29%27%29%2C+%0D%0Ablue%28line%284%2C-7%2C4%2C7%29%29++%29

Its equation is x = 4.  But neither line has a slope.
Vertical lines are the only kind of lines which have no slope.
All other lines have slopes.

Edwin