Question 547278
remember that if two lines are parallel, they have the same slope (m value in y=mx+b)

We need to get both of the lines into our slope-intercept form (y=mx+b).

{{{(k-2)x - ky + pi = 0}}}
{{{(k-2)x+pi=ky}}}
{{{y=(k-2)/k*x+pi/k}}}




{{{5x + 7y + sqrt(7) = 0}}}
{{{7y=-5x-sqrt(7)}}}
{{{y=-5/7*x-sqrt(7)/7}}}

If these lines are parallel, this means that the two m values are equal:
{{{(k-2)/k=5/7}}}
This means that:
{{{k-2=5 -> k=7}}}  
and 
{{{k=7}}}   

(this was just by equating both the numerators and both the denominators).  
Both of these equations show that {{{k=7}}}