Please help 30 points!!' Write an equation based on the following conditions in slope/y intercept form
Perpendicular to 3x-4y=9 through (-15,-4)
also can yall provide some shown work as my geometry teacher asked for shown work

The equation of line perpendicular to given line passing through (-15,-4) is:

Step-by-step explanation:

Given equation is:

The given equation is in standard form. We have to convert it into slope intercept form first.

The slope intercept form is:

So,

The co-efficient of x is the slope of the line.

m = 3/4

The product of slopes of two perpendicular lines is: -1

Let m1 be the slope of line perpendicular to given line then

Putting in slope-intercept form

To find the value of b, putting (-15,-4) in equation

The equation will be:

Hence,

The equation of line perpendicular to given line passing through (-15,-4) is:

y=mx+b

step-by-step explanation:

m slope

b y-intercept