If you’re trying to understand the graph of the linear inequality 2x-3y ≤ 12, then you’ve come to the right place. We’re going to break it down and explain it in simple, easy-to-understand terms. This article will explain the graph of the linear inequality 2x-3y ≤ 12 and will provide visuals to help you better understand.

What is a Linear Inequality?

A linear inequality is a mathematical statement that can be written as an equation. This type of equation is used to show the relationship between two variables, x and y. The equation will include a comparison operator, such as “greater than” or “less than”, and a number. For example, the equation 2x-3y ≤ 12 is a linear inequality.

What is the Graph of a Linear Inequality?

The graph of a linear inequality is a line on a graph. The line represents the points that satisfy the equation. For example, the graph of the linear inequality 2x-3y ≤ 12 will be a line on a graph. It will show all the points that satisfy the equation. The points that don’t satisfy the equation will be outside the line.

How to Graph a Linear Inequality in Two Variables?

To graph a linear inequality in two variables, you need to plot the points that satisfy the equation on a graph. You then need to connect the points with a line. The points that don’t satisfy the equation will be outside the line. The equation 2x-3y ≤ 12 can be graphed by plotting the points that satisfy the equation and connecting them with a line.

What Does a Straight Line Represent?

A straight line on a graph represents all the points that satisfy the equation. The points that don’t satisfy the equation will be outside the line. The line will show the relationship between the two variables. For example, the graph of the linear inequality 2x-3y ≤ 12 will show the relationship between x and y.

What Does the Line 2x-3y ≤ 12 Represent?

The line 2x-3y ≤ 12 represents all the points that satisfy the equation. All the points that don’t satisfy the equation will be outside the line. The line will show the relationship between the two variables. The line will show all the points that are less than or equal to 12 when the equation is solved.

What is the Slope of the Line 2x-3y ≤ 12?

The slope of the line 2x-3y ≤ 12 is -3/2. This means that for every two units of x, there is a decrease of three units of y. The slope of the line gives a better understanding of how the line is related to the equation.

What is the Y-Intercept of the Line 2x-3y ≤ 12?

The y-intercept of the line 2x-3y ≤ 12 is 12. This means that when x is equal to 0, y is equal to 12. This can be seen on the graph of the linear inequality 2x-3y ≤ 12. The y-intercept gives a better understanding of how the line is related to the equation.

Conclusion

The graph of the linear inequality 2x-3y ≤ 12 is a line that represents all the points that satisfy the equation. The slope of the line is -3/2, and the y-intercept is 12. The graph will show the relationship between the two variables. By understanding the graph of the linear inequality, you can better understand the equation.