Which graph below shows a line that contains ordered pairs that are solutions of the equation shown?
y = –x + 4

Given:
The equation is:
[tex]y=-x+4[/tex]
To find:
The graph of the line that contains ordered pairs that are solutions of the given equation.
Solution:
We need to find the graph of the given equation.
We have,
[tex]y=-x+4[/tex]
At [tex]x=0[/tex], we get
[tex]y=-0+4[/tex]
[tex]y=4[/tex]
So, the x-intercept of the given equation is at point (0,4).
At [tex]y=0[/tex], we get
[tex]0=-x+4[/tex]
[tex]x=4[/tex]
So, the y-intercept of the given equation is at point (4,0).
From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).
Therefore, the correct option is C.