2x+3y=3

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Subtract 2x from both sides of the equation.

3y=3-2x

Divide each term by 3 and simplify.

Divide each term in 3y=3-2x by 3.

3y3=33+-2×3

Cancel the common factor of 3.

Cancel the common factor.

3y3=33+-2×3

Divide y by 1.

y=33+-2×3

y=33+-2×3

Simplify 33+-2×3.

Simplify each term.

Divide 3 by 3.

y=1+-2×3

Move the negative in front of the fraction.

y=1-2×3

y=1-2×3

Reorder 1 and -2×3.

y=-2×3+1

y=-2×3+1

y=-2×3+1

Rewrite in slope-intercept form.

y=-23x+1

y=-23x+1

Using the slope-intercept form, the slope is -23.

m=-23

Find the Slope 2x+3y=3