The graph shows the functions f(x), p(x), and g(x):

part a: what is the solution to the pair of equations represented by p(x) and f(x)? (3 points)

part b: write any two solutions for f(x). (3 points)

part c: what is the solution to the equation p(x) = g(x)? justify your answer. (4 points)

We know that

p(x) and f(x) ------------> both are defined by the equation of a straight line
g(x)----------> is a grade 2 or higher function

see the attached figure

Part A: What is the solution to the pair of equations represented by p(x) and f(x)?
the solution is the intersection both graphs 
the solution is the point (-2,-3)

the answer part A) is the point (-2,-3)

Part B: Write any two solutions for f(x)
for x=-6   f(-6)=5
for x=-3   f(-3)=-1

Part C: What is the solution to the equation p(x) = g(x)? 
the solution is the intersection both graphs 
the solution is the point (0,2)

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

answer: the slope is equal -1.