Find the Slope 3x-2y=7x-5

Math
3x-2y=7x-5
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 not containing y to the right side of the equation.
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Subtract 3x from both sides of the equation.
-2y=7x-5-3x
Subtract 3x from 7x.
-2y=4x-5
-2y=4x-5
Divide each term by -2 and simplify.
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Divide each term in -2y=4x-5 by -2.
-2y-2=4x-2+-5-2
Cancel the common factor of -2.
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Cancel the common factor.
-2y-2=4x-2+-5-2
Divide y by 1.
y=4x-2+-5-2
y=4x-2+-5-2
Simplify each term.
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Cancel the common factor of 4 and -2.
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Factor 2 out of 4x.
y=2(2x)-2+-5-2
Move the negative one from the denominator of 2x-1.
y=-1⋅(2x)+-5-2
y=-1⋅(2x)+-5-2
Rewrite -1⋅(2x) as -(2x).
y=-(2x)+-5-2
Multiply 2 by -1.
y=-2x+-5-2
Dividing two negative values results in a positive value.
y=-2x+52
y=-2x+52
y=-2x+52
y=-2x+52
Using the slope-intercept form, the slope is -2.
m=-2
Find the Slope 3x-2y=7x-5

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