Pre-Algebra Examples

Graph 2x+3y-4=x+5
Step 1
Solve for .
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Step 1.1
Move all terms not containing to the right side of the equation.
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Step 1.1.1
Subtract from both sides of the equation.
Step 1.1.2
Add to both sides of the equation.
Step 1.1.3
Subtract from .
Step 1.1.4
Add and .
Step 1.2
Divide each term in by and simplify.
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Step 1.2.1
Divide each term in by .
Step 1.2.2
Simplify the left side.
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Step 1.2.2.1
Cancel the common factor of .
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Step 1.2.2.1.1
Cancel the common factor.
Step 1.2.2.1.2
Divide by .
Step 1.2.3
Simplify the right side.
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Step 1.2.3.1
Simplify each term.
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Step 1.2.3.1.1
Move the negative in front of the fraction.
Step 1.2.3.1.2
Divide by .
Step 2
Rewrite in slope-intercept form.
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Step 2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.2
Write in form.
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Step 2.2.1
Reorder terms.
Step 2.2.2
Remove parentheses.
Step 3
Use the slope-intercept form to find the slope and y-intercept.
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Step 3.1
Find the values of and using the form .
Step 3.2
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Step 4
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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Step 4.1
Write in form.
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Step 4.1.1
Reorder terms.
Step 4.1.2
Remove parentheses.
Step 4.2
Create a table of the and values.
Step 5
Graph the line using the slope and the y-intercept, or the points.
Slope:
y-intercept:
Step 6