SOLUTION: I am trying to graph an inequality with a y intercept of -2 and slope of 1/3 problem to graph is -x + 3y>-6. I have plotted -2 on the y axis and I am not sure where to go from he

Question 960212: I am trying to graph an inequality with a y intercept of -2 and slope of 1/3
problem to graph is -x + 3y>-6. I have plotted -2 on the y axis and I am not sure where to go from here. Is this a solid or dashed line
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Dashed because the inequality does not contain an equal.
Find the next point using the slope.
Slope is change in y over change in x.
So for a 1 unit change in y, you change 3 units in x.
Starting at the y-intercept,
(0,-2)+(3,1)=(3,-1)
(3,-1) is another point on the line.
Plot it and join the two points with your dashed line.
Then choose a point not on the line, like (0,0) and test the inequality.
If the inequality is true, shade the region containing the test point.
If it's false, shade the other region.

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