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Question 2810: Still having problem understanding how answer was arrived at: Can this be simplified:
Question: Find the equation of the line which passes through the point(-4,2) and is parallel to the verticle line x=5.
The parallel and verticle line x=5 is really thowing me off.
Answer by kiru_khandelwal(62): A vertical line means that any point which lies on that line x coordinate is the same and y coordinate varies
In our case the line ix x=5....this means all the points on the line will have x coordinate 5 and y will be variable
If a line is parallel to a vertical line it aslo needs to be vertical. Since this line passes thru (-4,2)...and as earlier said that all the points that lie on the vertical line has same x coordinate...so in this case the eqution will be x=-4
Answer by kiru_khandelwal(79)   (Show Source):
You can put this solution on YOUR website! A vertical line means that it is parallel to y axis. This means that for that line the value of y will increase or decrease i.e value of y will vary but the value of x will be the same. Suppose a vertical line passes through x =4 then for all the points on that line, x coordinate will always be 4 and y coordinate will change......
Now in our case the line is paralled to vertical line x =5. This means line is parallel to a line for which the value of x is fixed that is 5. This means the all the points that lie on that line will have x coordinate as 5 and the y will be varying.....
Now parallel lines means that the distance between the two lines is always same and they dont meet....so a line parallel to a vertical line will also be vertical.......since this line passes through (-4,2)...and is vertical...this means that x coordinate for all the points on this line will be same that is -4.....
so the equation of the line will be x = -4
Just draw the graph of a vertical line...and mark (x,y) points on it...that will help u in understanding...ne doubt jus buzz me :-)
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