Question

use the intercept to graph the equation x+3y=6

Answer 1

write in y=mx+b form

so subtract x on both sides:
3y=-x+6

now divide both sides by 3:

y=-x/3+2

so b=2
m=-1/3

Answer 2

see how i graph the y-intercept (0,2)
then i counted down once and over three times to the right using m