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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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. The steps to take when graphing a linear equation by plotting points are summarized below. It is true that it only takes two points to determine a line, but it is a good habit to use three points.

3x 2y 12

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.

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This is the area that contains the solutions to the inequality. Now you graph this inequality by treating it like an equation and then graphing the linear equation. Solvers Solvers. Algebra: Graphs, graphing equations and inequalities Section. First solve the inequality for the y-variable. Reset your password if you forgot it. 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. 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.

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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. Finally divide both sides by 2. Algebra: Graphs, graphing equations and inequalities Section. So, on the graph, you need to shade the area below and to the right of the "dashed" line. Username: Password: Register in one easy step! This is true, so the point 0, 0 is a solution and should fall within the shaded area of the graph. Now add 12 to both sides. Add 2y to both sides. 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 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. Algebra: Inequalities, trichotomy Section. Lessons Lessons.