SOLUTION: find the value for k for which the line 2x+ky=16 is parallel to y-axis

Algebra ->  Linear-equations -> SOLUTION: find the value for k for which the line 2x+ky=16 is parallel to y-axis      Log On


   



Question 940738: find the value for k for which the line 2x+ky=16 is parallel to y-axis
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

find the value for k for which the line 2x%2Bky=16 is parallel to y-axis
first find the slope; recall, being parallel to the y-axis means to have a slope undefined or m=1%2Fk where k=0

the slope of the given line is:
2x%2Bky=16=>y=-%282%2Fk%29x%2B16%2Fk%7D%7D%0D%0A%7D%0D%0A%26+the+slope+of+y-axis+is+%7B%7B%7Binfinity which can be assumed to be equal to -2%2F0
Since the lines are parallel,their slopes are equal.
i.e. -2%2Fk=1%2F0=> k=0
or, we can solve it this way:
if the line is parallel to y-axis, then (by definition of the vertical line) we have a vertical line where x is a constant value and y=0; so, whatever value we choose for k if y=0 we will have ky=k%2A0=0