SOLUTION: Line s has equation y=2x+2014. Line k is parallel to line s but goes through the origin. Write its equation.

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Question 953496: Line s has equation y=2x+2014. Line k is parallel to line s but goes through the origin. Write its equation.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Line s has equation y=2x%2B2014.
Line k is parallel to line s, means both lines have same slope
since y=2x%2B2014 has a slope m=2
then line k will be y=2x%2Bb where b is y-intercept
but line k goes through the origin, (0,0), means b=0
so, its equation is y=2x