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= -(2)/(9)x- (4)/(9)` Standard format

Since now we know that the slope is
`-(2)/(9)`, the perpendicular slope is
`(9)/(2)`