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.

3x 2y 12

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Finally divide both sides by 2. 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, 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.

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Add 2y to both sides. Username: Password: Register in one easy step! Solvers Solvers. 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: 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. So, on the graph, you need to shade the area below and to the right of the "dashed" line. Finally divide both sides by 2. 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. Lessons Lessons.

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Answers archive Answers. First solve the inequality for the y-variable. Reset your password if you forgot it. This is true, so the point 0, 0 is a solution and should fall within the shaded area of the graph. 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. 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. Algebra: Inequalities, trichotomy Section. Lessons Lessons. 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. Add 2y to both sides. Reset your password if you forgot it. 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. 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. 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.