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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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 isthis means: which shows us that the rise is -3 and the run is 2. Lessons Lessons, 3x 2y 12. Solvers Solvers.

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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.

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. 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.

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Solvers Solvers. 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. Reset your password if you forgot it. 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. Finally divide both sides by 2. Username: Password: Register in one easy step! To solve linear inequalities with two variables, you can use graphing. 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. For this you will need a "test point" or two to determine which side of the line to shade. Now you graph this inequality by treating it like an equation and then graphing the linear equation. Solvers Solvers. 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.

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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. To solve linear inequalities with two variables, you can use graphing. Lessons Lessons. Algebra: Graphs, graphing equations and inequalities Section. Solvers Solvers. 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. Algebra: Inequalities, trichotomy Section. Reset your password if you forgot it. Lessons Lessons. Username: Password: Register in one easy step!