-3x+4y=2

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

y=mx+b

Add 3x to both sides of the equation.

4y=2+3x

Divide each term by 4 and simplify.

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

4y4=24+3×4

Cancel the common factor of 4.

Cancel the common factor.

4y4=24+3×4

Divide y by 1.

y=24+3×4

y=24+3×4

Simplify 24+3×4.

Cancel the common factor of 2 and 4.

Factor 2 out of 2.

y=2(1)4+3×4

Cancel the common factors.

Factor 2 out of 4.

y=2⋅12⋅2+3×4

Cancel the common factor.

y=2⋅12⋅2+3×4

Rewrite the expression.

y=12+3×4

y=12+3×4

y=12+3×4

Reorder 12 and 3×4.

y=3×4+12

y=3×4+12

y=3×4+12

Rewrite in slope-intercept form.

y=34x+12

y=34x+12

Using the slope-intercept form, the slope is 34.

m=34

Find the Slope -3x+4y=2