Answer:
[tex]y=-x+6[/tex]
Step-by-step explanation:
Slope-intercept formula is [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept. So solve [tex]x+y=6[/tex] for y;
[tex]x+y=6[/tex]
Subtract x from both sides to isolate y
[tex]x-x+y=6-x\\y=6-x[/tex]
Rearrange in slope-intercept form:
[tex]y=-x+6[/tex]
Done.
