3x+2y=4

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

y=mx+b

Subtract 3x from both sides of the equation.

2y=4-3x

Divide each term by 2 and simplify.

Divide each term in 2y=4-3x by 2.

2y2=42+-3×2

Cancel the common factor of 2.

Cancel the common factor.

2y2=42+-3×2

Divide y by 1.

y=42+-3×2

y=42+-3×2

Simplify 42+-3×2.

Simplify each term.

Divide 4 by 2.

y=2+-3×2

Move the negative in front of the fraction.

y=2-3×2

y=2-3×2

Reorder 2 and -3×2.

y=-3×2+2

y=-3×2+2

y=-3×2+2

Rewrite in slope-intercept form.

y=-32x+2

y=-32x+2

Using the slope-intercept form, the slope is -32.

m=-32

Find the Slope 3x+2y=4