Give the slope intercept form of the equation of the line that is perpendicular to 3x-4y=17 and contains p(6,4)

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

The given line is:

So we have:

We find :

So, a line perpendicular to the one given is of the form:

We substitute the given point to find "b":

Finally, the line is: