The graph of line $g$ is shown in the $xy$-plane. Line $k$ is defined…

Question

Prompt

The graph of line

g

is shown in the

x y

-plane. Line

k

is defined by

165 x + p y = w

, where

p

and

w

are constants. If line

k

is graphed in this

x y

-plane, resulting in the graph of a system of two linear equations, the system will have infinitely many solutions. What is the value of

p + w