SOLUTION: Graph on a plane. 2x+3y<=6 I am confused by this one as well, would I change the inequality to just an equal sign then change it into the y=mx+b formula?

Question 174022: Graph on a plane.
2x+3y<=6
I am confused by this one as well, would I change the inequality to just an equal sign then change it into the y=mx+b formula?
Found 2 solutions by Mathtut, solver91311:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
you can graph this no matter what form its in. Just start plotting x and y values.
if x =1 then y= ...2(1)+3y=6... 3y=4...so y=4/3 do this for several value of x
remember when graphing to include the inequality.
once you have a graph try a couple of points on either side to see if they meet the criteria of the inequality . Then you will know what to color in for your answer. you should end up with everthing colored in below the line.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Step 1: Change the inequality sign to an equal sign and graph the resulting line by whatever method you like. Since the inequality sign includes equals (≤), graph the line as a solid line. (otherwise, you would graph it as a dashed line.)

Step 2: Pick a point that is NOT on the line. Any time you have a line that does NOT pass through the origin, pick (0,0) as your point.

Step 3: Substitute the coordinate values from the point you selected into the original inequality.

If the result is a TRUE statement, shade in the half-plane on the side of the line that CONTAINS the selected point.

If the result is a FALSE statement, shade in the half-plane on the side of the line that does NOT CONTAIN the selected point.
RELATED QUESTIONS
Hi, I am working on an inequality word problem and I would like to know ifthis is right.... (answered by jim_thompson5910)
Graph the inequality on a plane. 2x+3y<6 The < sign is supposed to have a _ symbol... (answered by Alan3354)
Graph y (> or equal to sign)2x + 1 Is this the final form of the equation? Then... (answered by stanbon,richwmiller)
Graph the inequality on a plane. 4x+5y<=20 I am very confused on this question.... (answered by ewatrrr)
I am so confused about graphing inequalities... I am not just wanting someone to do my... (answered by Alan3354)
Graph the inequality on a plane 2x + 3y (is less than or equal to) 6 (answered by stanbon)
I need help I am adding and subtracting polynomials and I get it and I understand the... (answered by stanbon)
How do I graph an inequality on a plane with this expression: 2x-3y≤6... (answered by stanbon)
I hope I have this in the right place. I need help please! Graph the inequality on a... (answered by jim_thompson5910)