Find the Slope 6x-5y+3=2x-2y-9

Math
6x-5y+3=2x-2y-9
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
Move all terms containing y to the left side of the equation.
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Add 2y to both sides of the equation.
6x-5y+3+2y=2x-9
Add -5y and 2y.
6x-3y+3=2x-9
6x-3y+3=2x-9
Move all terms not containing y to the right side of the equation.
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Subtract 6x from both sides of the equation.
-3y+3=2x-9-6x
Subtract 3 from both sides of the equation.
-3y=2x-9-6x-3
Subtract 6x from 2x.
-3y=-4x-9-3
Subtract 3 from -9.
-3y=-4x-12
-3y=-4x-12
Divide each term by -3 and simplify.
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Divide each term in -3y=-4x-12 by -3.
-3y-3=-4x-3+-12-3
Cancel the common factor of -3.
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Cancel the common factor.
-3y-3=-4x-3+-12-3
Divide y by 1.
y=-4x-3+-12-3
y=-4x-3+-12-3
Simplify each term.
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Dividing two negative values results in a positive value.
y=(4)x3+-12-3
Divide -12 by -3.
y=4×3+4
y=4×3+4
y=4×3+4
Rewrite in slope-intercept form.
y=43x+4
y=43x+4
Using the slope-intercept form, the slope is 43.
m=43
Find the Slope 6x-5y+3=2x-2y-9

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