SOLUTION: I have no idea how to solve this problem. It says graph x+y<-1

Question 715656: I have no idea how to solve this problem.
It says graph x+y<-1
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
To graph an inequality you first graph the boundary line, making it a solid line if the inequality sign includes "or equal", or a dashed lined, if it's just greater than, or just lesser than.

For you will graph as a dashed line.

After graphing the boundary line, you color (or shade) the side of the line that represents all the solutions to the inequality.

You could solve for y, -->
and color as solution all the points below the line ,
because for each x, the points below the line have a y value that is less that the y on the line.

HOW TO GRAPH A LINE:
If you know two points on the line, you just plot those points and connect them with a straight line.
I see that the line with the equation passes through points (0,-1) and (-1,0) because
makes the equation indicating that (0,-1) is a point on the line, and
makes the equation indicating that (-1,0) is a point on the line.
I can use those points to graph the line.
If you have the equation in the slope-intercept form, a in , you can use the y-intercept for one point, and the slope to go from one point to another.
The at the end of tells you that the y-intercept is ,
meaning that the line crosses the y-axis at point (0,-1).
The line has a slope of (the coefficient of ).
A slope of means that as increases by 1, increases by (meaning that it decreases by 1.
So from (0,-1) you would go to (1,-2) and then to (2,-3), and so on.
Reversing direction, you could go from (0,-1) to (-1,0) and then to (-2,1), and so on.

HOW TO DECIDE WHICH SIDE OF THE LINE IS THE SOLUTION:
If your inequality is the lesser than sign tells you that the solution is all the points below the line with equation
If your inequality is something like , you can figure out which side is the solution by using a test point that is not on the line.
You would chose a test point that makes calculations easy.
For , I would chose point (0,0), the origin.
Substituting and , I see that the origin is not part of the solution because
and is not lesser than .
So I know that the solution is the side of line that does not contain the origin.

YOUR SOLUTION
is the green shaded area, all the way to the dashed blue line. but not including that line. (We draw the boundary line as a dashed line to show that the points of that line are not part of the solution).

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