Question

What is the perpendicular line slope of -2x-9y=4

Answer 1

The perpendicular slope of the original equation,$-2x-9y=4$, is the negative reciprocal (flip the numerator and denominator).

But first we need to put it in y=mx+b form...

$-2x-9y=4$                                            Equation

$-9y=2x+4$                                           Add 2x to both sides

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

Since now we know that the slope is $-\frac{2}{9}$, the perpendicular slope is $\frac{9}{2}$