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.

3x 2y 12

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Add 2y to both sides.

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Learn how to solve integral calculus problems step by step online. We need to isolate the dependent variable y, we can do that by simultaneously subtracting 3x from both sides of the equation. Factor the polynomial x by it's greatest common factor GCF : 3. Divide both sides of the equation by Simplifying the quotients. Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more. Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. See formulas.

3x 2y 12

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.

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Let's try test point 0, 0 and put these values of x and y in the original inequality to see whether or not it is a solution. Answers archive Answers. This is true, so the point 0, 0 is a solution and should fall within the shaded area of the graph. Now try a point on the other side of the line, -5, 4 This is not true so the point -5, 4 is not a solution and should fall on the un-shaded side of the line. Username: Password: Register in one easy step! Username: Password: Register in one easy step! 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. 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. Algebra: Inequalities, trichotomy Section. Reset your password if you forgot it. Now you graph this inequality by treating it like an equation and then graphing the linear equation. Solvers Solvers.

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Algebra: Graphs, graphing equations and inequalities Section. Now add 12 to both sides. Add 2y to both sides. For this you will need a "test point" or two to determine which side of the line to shade. This is true, so the point 0, 0 is a solution and should fall within the shaded area of the graph. Username: Password: Register in one easy step! 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. Solvers Solvers. Reset your password if you forgot it. Now try a point on the other side of the line, -5, 4 This is not true so the point -5, 4 is not a solution and should fall on the un-shaded side of the line. This is the area that contains the 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.