# Finding equation of the line that is parallel to given one

Find the equation of the line that is parallel to y = 4x - 1 and passes though the point (7,30)?

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Parallel straight lines have the same slopes $m_1=m_2$. General equation of the straight line is $y=mx+c$. If $m = 4$, then we have $y=4x+c$. Now we can easy find c by inserting given point coordinates to our equation. $$30=4 \cdot 7 + c, \ \ c=2$$ Answer: $y=4x+2$

Last time edited 2019-01-18

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