The perpendicular slope of the original equation,[tex]-2x-9y=4[/tex], is the negative reciprocal (flip the numerator and denominator).
But first we need to put it in y=mx+b form...
[tex]-2x-9y=4[/tex] Equation
[tex]-9y=2x+4[/tex] Add 2x to both sides
[tex]y= -\frac{2}{9}x- \frac{4}{9} [/tex] Standard format
Since now we know that the slope is [tex]-\frac{2}{9} [/tex], the perpendicular slope is [tex] \frac{9}{2} [/tex]
