Find the Slope 6x+6y=30

Math
6x+6y=30
Rewrite in slope-intercept form.
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The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Subtract 6x from both sides of the equation.
6y=30-6x
Divide each term by 6 and simplify.
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Divide each term in 6y=30-6x by 6.
6y6=306+-6×6
Cancel the common factor of 6.
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Cancel the common factor.
6y6=306+-6×6
Divide y by 1.
y=306+-6×6
y=306+-6×6
Simplify 306+-6×6.
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Simplify each term.
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Divide 30 by 6.
y=5+-6×6
Cancel the common factor of -6 and 6.
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Factor 6 out of -6x.
y=5+6(-x)6
Cancel the common factors.
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Factor 6 out of 6.
y=5+6(-x)6(1)
Cancel the common factor.
y=5+6(-x)6⋅1
Rewrite the expression.
y=5+-x1
Divide -x by 1.
y=5-x
y=5-x
y=5-x
y=5-x
Reorder 5 and -x.
y=-x+5
y=-x+5
y=-x+5
y=-x+5
Using the slope-intercept form, the slope is -1.
m=-1
Find the Slope 6x+6y=30
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