3x-2y=7x-5

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.

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.

Divide each term in -2y=4x-5 by -2.

-2y-2=4x-2+-5-2

Cancel the common factor of -2.

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.

Cancel the common factor of 4 and -2.

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