Question

what is the slope of a line perpendicular to the line whose equation is negative 4x - 2y + 18 = 0

Answer 1

$-4x-2y+18=0$

First, solve for y

$\begin{gathered} 2y=-4x+18 \\ y=-2x+9 \end{gathered}$

the slope of this line is -2, because is the coefficient of x

Two perpendicular lines have the same slope but inverted and with a different sign

so, the slope of the perpendicular line is

$-2\longrightarrow\frac{1}{2}$

1/2