SOLUTION: Graph the inequality on a plane 2x+3y is less than or equal to 6 Thank you

Algebra ->  Graphs -> SOLUTION: Graph the inequality on a plane 2x+3y is less than or equal to 6 Thank you      Log On


   

Question 320153: Graph the inequality on a plane
2x+3y is less than or equal to 6
Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B3y%3C=6
3y%3C=-2x%2B6
+y%3C=-%282%2F3%29x%2B2+
.
.
.
Graph the line y=-%282%2F3%29x%2B2,
.
.
.
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-%282%2F3%29x%2B2%29
.
.
.
Choose a point not on the line and test the inequality.
(0,0) is a good choice.
0%3C=-%282%2F3%29%280%29%2B2
2%3C=0
True, (0,0) is in the solution region.
Shade the region containing (0,0) including the line.
Solved by pluggable solver: Plot Any Inequality
Graphing function y%3C=-%282%2F3%29x%2B2:

graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+y%3C=-%282%2F3%29x%2B2+%29