SOLUTION: Graph x + 3y ≤ 6, indicating the solution set with crosshatching or shading. Explain how you determined where to draw the line and shade the area that represents the solution

Algebra ->  Graphs -> SOLUTION: Graph x + 3y ≤ 6, indicating the solution set with crosshatching or shading. Explain how you determined where to draw the line and shade the area that represents the solution      Log On


   

Question 921292: Graph x + 3y ≤ 6, indicating the solution set with crosshatching or shading. Explain how you determined where to draw the line and shade the area that represents the solution set.




Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
to graph x+%2B+3y+%3C=+6 find two points that lie on a line
x+%2B+3y+%3C=+6 if x=0
0+%2B+3y+%3C=+6
3y+%3C=+6
y+%3C=+6%2F3
y+%3C=+2
x+%2B+3y+%3C=+6 if y=0
x+%2B+3%2A0%3C=+6
x+%2B0%3C=+6
x+%3C=+6
points are: (0,2) and (6,0)

plot points:



draw a line through:x + 3y <=-x/3+ 2


shade the area under line including line itself because you have ≤