Answer:
[tex]y=-x+7[/tex]
The graph in the attached figure
Step-by-step explanation:
we have
[tex]x+y=7[/tex]
This is the equation of the line in standard form
Convert to slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
Isolate the variable y
subtract x both sides
[tex]x+y-x=-x+7[/tex]
simplify
[tex]y=-x+7[/tex]
The y-intercept is the point (0,7)
Find the x-intercept
For y=0
[tex]0=-x+7\\x=7[/tex]
The x-intercept is the point (7,0)
Plot the intercepts and join them to graph the line
see the attached figure
