Algebra Examples

Write in Slope-Intercept Form
x+6y=5x+6y=5
Step 1
The slope-intercept form is y=mx+by=mx+b, where mm is the slope and bb is the y-intercept.
y=mx+by=mx+b
Step 2
Rewrite in slope-intercept form.
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Step 2.1
Subtract xx from both sides of the equation.
6y=5-x6y=5x
Step 2.2
Divide each term in 6y=5-x6y=5x by 66 and simplify.
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Step 2.2.1
Divide each term in 6y=5-x6y=5x by 66.
6y6=56+-x66y6=56+x6
Step 2.2.2
Simplify the left side.
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Step 2.2.2.1
Cancel the common factor of 66.
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Step 2.2.2.1.1
Cancel the common factor.
6y6=56+-x66y6=56+x6
Step 2.2.2.1.2
Divide yy by 11.
y=56+-x6y=56+x6
y=56+-x6y=56+x6
y=56+-x6y=56+x6
Step 2.2.3
Simplify the right side.
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Step 2.2.3.1
Move the negative in front of the fraction.
y=56-x6y=56x6
y=56-x6y=56x6
y=56-x6y=56x6
Step 2.3
Write in y=mx+by=mx+b form.
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Step 2.3.1
Reorder 5656 and -x6x6.
y=-x6+56y=x6+56
Step 2.3.2
Reorder terms.
y=-(16x)+56y=(16x)+56
Step 2.3.3
Remove parentheses.
y=-16x+56y=16x+56
y=-16x+56y=16x+56
y=-16x+56y=16x+56
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