Graph 3x+2y=6

Graph 3x+2y=6
Solve for .
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Subtract from both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify each term.
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Divide by .
Move the negative in front of the fraction.
Rewrite in slope-intercept form.
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The slope-intercept form is , where is the slope and is the y-intercept.
Reorder and .
Rewrite in slope-intercept form.
Use the slope-intercept form to find the slope and y-intercept.
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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:
Slope:
y-intercept:
Any line can be graphed using two points. Select two values, and plug them into the equation to find the corresponding values.
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Choose to substitute in for to find the ordered pair.
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Replace the variable with in the expression.
Simplify the result.
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Simplify each term.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Multiply by .
Add and .
The final answer is .
The value at is .
Choose to substitute in for to find the ordered pair.
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Replace the variable with in the expression.
Simplify the result.
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Simplify each term.
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Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Multiply by .
Multiply by .
Add and .
The final answer is .
The value at is .
Create a table of the and values.
Graph the line using the slope and the y-intercept, or the points.
Slope:
y-intercept:
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