through: (-4,2), perp. to y=4/7x+5
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\(f_1(x):\\ y=\frac{4}{7}x+5\\ m_1=\frac{4}{7}\)
\(f_2(x):\\ m_2=-\frac{1}{m_1}=-\frac{1}{\frac{4}{7}}\\ \color{blue}m_2=-\frac{7}{4}\\ \color{BrickRed}P(-4,2)\)
\(y=m(x-x_P)+y_P \) (\(point-direction\ equation\))
\(y=-\frac{7}{4}(x-(-4))+2\\ y=-\frac{7}{4}x-7+2\)
\(y=-\frac{7}{4}x-5\)
!