Which is the graph of the linear inequality 2x-3y 12

Which is the graph of the linear inequality 2x-3y 12

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Matthew W.

Algebra

7 months, 2 weeks ago

Which is the graph of the linear inequality 2x-3y 12

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'Which graph shows the solution to the system of linear inequalities? y< 2x-5 y> -3x + 1 Algebra 1 Semi . FL . 1200325 CR Aitemp DLL'

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Video Transcript

Okay, so we have Why is less than two X -5. And so That means we have to intercept at negative five It's a positive slope of two. If y is less than this then it needs to be shaded beneath. Like let me just do it because I don't see all of the choices but the choices I see are wrong or why is greater than negative three X plus one. Okay, So we have a 5-5 skill. Let me try and do that 5- five skill. This is one and 1. All right. So when We talked about the intercept I mentioned earlier being at 123-45 it's here Then when X is say three wise one, thus we have the following shape and we also know that it's going to be shaded where y is negative so that's going to be underneath. I'm just gonna draw arrows right now where it's supposed to be shaded and then well shaded afterwards and then we know why is greater than negative three X plus one. So that's the intercept at one. So when white supposed white does equal two negative six plus one is going to be negative five. So too And -5 is here. So we get the following shape and why is greater. So we have that shaded above this line and they meet here in this shaded region. No, these are supposed to be dash lines to you. So I'm going to fix that because solid lines means that equals that equals the values and I just want to be very clear that this is what I'm talking about, There we go.

It's all the space under the straight line #y=-2/3x+4#

Explanation:

you can write the inequality as #3y<=12-2xrarry<=-2/3x+4#. Now you are looking for the y values that are under the line #y=-2/3x+4#
so all the space under the blue line in the graph graph{-2/3x+4 [-10, 10, -5, 5]}

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Algebra Examples

Step 1

Subtract from both sides of the inequality.

Divide each term in by and simplify.

Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

Cancel the common factor of .

Cancel the common factor.

Dividing two negative values results in a positive value.

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Find the values of and using the form .

The slope of the line is the value of , and the y-intercept is the value of .

Slope:

y-intercept:

Step 3

Graph a dashed line, then shade the area above the boundary line since is greater than .

What is the slope intercept form of the inequality 2x 3y 12?

1 Answer. The slope is −23 .

What is the solution of 2x 3y 12?

Solution is x=4 and y=2 Explanation: When we have such linear equations, where we have addition only and coefficients of x and y ...

What is the graph of inequality?

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

Which description of the graph of the linear inequality y ≥ 7x 4 is correct?

Summary: The graph of the linear equality y ≥ 7x - 4 will be a solid line with a y-intercept of negative four and a slope of seven.