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(1)/(2)`

1/2