SOLUTION: If the line represented by the equation 4x+ky-10=0 is parallel to the line with equation 2x-10y+7=0, what is the value of k?

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Question 1151416: If the line represented by the equation 4x+ky-10=0 is parallel to the line with equation 2x-10y+7=0, what is the value of k?
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

If the line represented by the equation


=>slope is
is perpendicular to the line with the equation


=>slope is
perpendicular lines have slopes negative reciprocal to each other

substitute both
.....solve for
.......both sides multiply by



so, the value of is

is perpendicular to



Answer by ikleyn(52872)   (Show Source): You can put this solution on YOUR website!
.
If the line represented by the equation 4x+ky-10=0 is parallel to the line with equation 2x-10y+7=0, what is the value of k?
~~~~~~~~~~~~~~~


            The response by @MathLover1 is written  as if the question is about  PERPENDICULAR  lines;
            but it is about  PARALLEL  lines.

            So I came to fix it. 


The lines are parallel if and only if their slopes are equal.


It gives you this equation / (proportion)


     = .


Left side of this equation is the slope of the first line;

respectively, right side of the equation is the slope of the second line.


From this proportion,  k =  = -20.    ANSWER


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