Question

what is the slope of the line that is perpendicular to the line y=2/9x+9/2

Answer 1

Given ,

The line is y = (2/9)x + 9/2

On comparing with y = mx + c , we get

Slope of the line (m) = 2/9

Now , if two lines are perpendicular to each other then

$\large \sf \fbox{ m_{1} \times m_{1} = - 1}$

Thus ,

$\sf \mapsto \frac{2}{9} \times m_{2} = - 1 \\ \\ \sf \mapsto m_{2} = - \frac{9}{2}$

$\sf \therefore \underline{The \: slope \: of \: the \: other \: line \: is \: ( - \frac{9}{2} )}$