Question 1151416
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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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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The response by @MathLover1 is written &nbsp;<U>as if the question is about &nbsp;PERPENDICULAR &nbsp;lines</U>;  
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;but it is about &nbsp;PARALLEL &nbsp;lines.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;So I came to fix it.



<pre>
The lines are parallel if and only if their slopes are equal.


It gives you this equation / (proportion)


    {{{-4/k}}} = {{{2/10}}}.


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 = {{{((-4)*10)/2}}} = -20.    <U>ANSWER</U>
</pre>