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Question 121909: Can you give me a detailed explanation why the line x=4 is a vertical line?
Thanks in advance
Sydoni
Found 3 solutions by stanbon, jainenderkapoor, josmiceli:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Can you give me a detailed explanation why the line x=4 is a vertical line?
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You need two points to determine a line.
Plot two points with x=4 and draw a line thru them:
Let one point be (4,0); let another be (4,3)
Notice that the line is veritical no matter what
two points you pick.
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cheers,
Stan H.
Answer by jainenderkapoor(61)  (Show Source):
You can put this solution on YOUR website! For drawing a line we need points .
We find the points and join them to get the line for the given equation.
Equation is x = 4
We can find the points (x, y) by giving different values to x or y and finding corresponding values of y and x
The equation says x = 4 (it means x has a fixed value)
So whatever value of y we take the x can take only 4
Our points become (4, 1) (4, 4) (4, 0) and so on..
When we join these points we see that it is a vertical line - parallel to y-axis.
Hope the solution is clear to you. If you need any help you can contact me at jainenderkaporo@gmail.com I am also available for Online Tutoring at very reasonable rates.
Answer by josmiceli(19441)  (Show Source):
You can put this solution on YOUR website! Let's say you were asked to plot 10 points, and the points had
to be of the form (4,y) where  could be any number. You
might come up with
(4,3)
(4,-5)
(4,9)
(4,120)
(4,55)
(4,1000)
(4,0)
(4,80)
(4,4)
(4,-500)
If you plot these you get a vertical line
If you use any other values for , you still get a vertical line
The only thing all these different sets of points have in common is
 . All the values I can possible come up with will
be on that vertical line
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