Question

through: (2, -5), perp. to y= 1/4x+5

Answer 1

$\begin{gathered} y=\frac{1}{4}x+5 \\ \text{slope,m=}\frac{1}{4} \\ \text{New slope is,m=-4} \\ \text{The new equation is,} \\ (y-y_1)=m(x-x_1) \\ (y+5)=-4(x-2) \\ y+5=-4x+8 \\ y=-4x+8-5 \\ y=-4x+3 \end{gathered}$