Answer:
Part 1) The equation of line p is 
Part 2) The equation of line q is 
Part 3) The equation of line r is 
The graph in the attached figure
Step-by-step explanation:
step 1
Find the equation of the line p
we have

Find the equation in point slope form

substitute
----> equation in point slope form
Convert to slope intercept form



step 2
Find the equation of line q
we know that
If two lines are perpendicular, then their slope are opposite reciprocal (the product of their slopes is equal to -1)
we have that
Line q is perpendicular to line q
so

we have

therefore

we have

Find the equation in point slope form

substitute
----> equation in point slope form
Convert to slope intercept form



step 3
Find the equation of line r
we know that
Line r passes through Quadrants 1 and Quadrants 2 only and passes through the point (-3,4)
therefore
The equation of Line r must be equal to the y-coordinate of the given point
----> is a horizontal line
step 4
Graph the three lines
using a graphing tool
see the attached figure