3x 2y 12

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Username: Password: Register in one easy step! Reset your password if you forgot it. Algebra: Graphs, graphing equations and inequalities Section. Solvers Solvers. Lessons Lessons. Answers archive Answers. Start with the given equation Subtract from both sides Rearrange the equation Divide both sides by Break up the fraction Reduce So the equation is now in slope-intercept form where the slope is and the y-intercept is Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is.

3x 2y 12

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Now add 12 to both sides.

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Notice how the points line up perfectly? Notice the arrows on the ends of each side of the line. These arrows indicate the line continues. Every point on the line is a solution of the equation. Also, every solution of this equation is a point on this line. Points not on the line are not solutions. Substitute the x - and y - values into the equation to check if the ordered pair is a solution to the equation. There are several methods that can be used to graph a linear equation.

3x 2y 12

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But note that because the sign of the inequality is So you will graph: Now you need to shade the area of the graph that contains solutions to the inequality. This means that to go from point to point, we can go down 3 and over 2 So starting at , go down 3 units and to the right 2 units to get to the next point Now draw a line through these points to graph So this is the graph of through the points and. This is the area that contains the solutions to the inequality. Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -3 and the run is 2. Solvers Solvers. Username: Password: Register in one easy step! For this you will need a "test point" or two to determine which side of the line to shade. Now add 12 to both sides. First solve the inequality for the y-variable. Finally divide both sides by 2. So, on the graph, you need to shade the area below and to the right of the "dashed" line. This is true, so the point 0, 0 is a solution and should fall within the shaded area of the graph. Lessons Lessons. Now you graph this inequality by treating it like an equation and then graphing the linear equation.

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Algebra: Graphs, graphing equations and inequalities Section. For this you will need a "test point" or two to determine which side of the line to shade. Now add 12 to both sides. So, on the graph, you need to shade the area below and to the right of the "dashed" line. Lessons Lessons. Username: Password: Register in one easy step! This means that to go from point to point, we can go down 3 and over 2 So starting at , go down 3 units and to the right 2 units to get to the next point Now draw a line through these points to graph So this is the graph of through the points and. To solve linear inequalities with two variables, you can use graphing. First solve the inequality for the y-variable. Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -3 and the run is 2. Username: Password: Register in one easy step! This is the area that contains the solutions to the inequality. Answers archive Answers.