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 $(7,30)$ ?
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.$$30=4 \cdot 7 + c, \ \ c=2$$
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