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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.

$$30=4 \cdot 7 + c, \ \ c=2$$

Answer: $y=4x+2$

2020-11-29

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