What is the slope of a line perpendicular to 24x-9y=63

In order to find the slop it is probably best to put the equation in y=mx+b form. This means to get y by itself on one side.

24x-9y=63 will then become - 9y=63-24x in which y has been isolated.

Then you should divided by - 9 to get the final form: y=24x/9 - 63/9.

Now you can get the slope of the perpendicular line by taking the slope of the original equation and finding its reciprocal which is - 9/24x. This is your answer.