What is the slope of a line pendicular to 5x-3y=9

Slope of a line perpendicular to:

5x       -     3y      =       9

Let's solve for x.

5x    −    3y    =     9

Step 1: Add 3y to both sides.

5x     −     3y      +    3y     =      9    +     3y

5x     =     3y      +      9

Step 2: Divide both sides by 5.

5x / 5         =          3y   +   9 / 5

Graph:     5x     -    3y     =     9   =======>    y     =     5/3x       -     3

Answer     =======>       x        =       3/5y        +    9/5

SOLVE FOR  Y:

5x      -     3y       =     9

Step 1: Add    -5x to both sides.

5x      −      3y        +         −5x         =         9      +         −5x

−3y       =          −5x     +      9

Step 2: Divide both sides by -3.

-3y / -3      =      -5x    +    9 / -3

Graph:     ======>    5x      -    3y      =    9     =====>    y   =      5/3x    -    3

Answer    ========>     y          =      5/3x       -     3

Hope that helps                            : )

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