ANSWER
[tex]q = - 7p[/tex]
EXPLANATION
The constant difference of p values is
4-2=2
The constant difference of the 'q' values is
-28--14=-14
The function is of the form:
[tex]q = m(p - p_1) + q_1[/tex]
where
[tex]m = \frac{change \: in \:q }{change \: in \: p} [/tex]
[tex]m = \frac{ - 14}{2} = - 7[/tex]
We plug in the values to get;
[tex]q = - 7(p - 2) + - 14[/tex]
Expand:
[tex]q = - 7p + 14+ - 14[/tex]
Simplify:
[tex]q = - 7p[/tex]
