SOLUTION: Determine K for the following two lines are parallel. {{{(k-2)x - ky + pi = 0}}} {{{5x + 7y + sqrt(7) = 0}}}

Question 547278: Determine K for the following two lines are parallel.

Answer by mathie123(224) (Show Source): You can put this solution on YOUR website!
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).

If these lines are parallel, this means that the two m values are equal:

This means that:

and

(this was just by equating both the numerators and both the denominators).
Both of these equations show that

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