Question

What is the slope of the line perpendicular to the line whose equation is given by $-2y=-8x+9$?

Answer 1

Given equation of line

$-2y=-8x+9$

$8x=2y+9$

To find the slope of line perpendicular to the line $8x=2y+9$

Here, $8x=2y+9$

$y=\frac{8x-9}{2}y=4x-\frac{9}{2}$

On comparing the equation with $y=mx+C$

We get $m=4$

We know that condition of perpendicularity $m_1{m}_2=-1$

$m_2=-\frac{1}{4}$ is the slope of the line perpendicular to $8x=2y+9$