Question 64243
 QUESTION:




IS THIS A PERPENDICULAR LINE, PARALLEL LINE, OR NEITHER OF THOSE TWO LINES. X=2, Y=9




ANSWER:


Given equations are  X = 2 and Y = 9


First of all rewrite the equations in terms of x as follows,


X = 2 ==> Y = X - 2 ---------------(1)


and Y = 9 -----------------------------(2)



\Now give arbitrary values to X in equation (1) and find corresponding values of Y.


that is ,


If x = 0 ,   y = 0-2 = -2



If x = 1 ,   y = 1-2 = -1



If x = 2 ,   y = 2-2 = 0


If x = 3 ,   y = 3- 2 = 1   and so on..........


For the second equation, for all values of x, value of  y will be  9.



Now plot graph  using these points.


Then the graph comes like this,




{{{ graph( 700, 700, -15, 15, -15, 15, x-2, 9) }}}





The graph shows that the lines are neither parellel nor perpendicular.




Hope you understood.


Regards.


praseenskos@yahoo.co.in