Given
[tex]y=4x+2[/tex]To find:
The equation of the perpendicular line.
Explanation:
It is given that,
[tex]y=4x+2[/tex]That implies,
Since the slope of the given line is 4 and the product of the slopes of two perpendicular lines is -1.
Then,
[tex]\begin{gathered} m_1m_2=-1 \\ 4\times m_2=-1 \\ m_2=-\frac{1}{4} \end{gathered}[/tex]Therefore, the equation of the perpendicular line is,
[tex][/tex]