-3x+4y=20

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=20+3x

Divide each term by 4 and simplify.

Divide each term in 4y=20+3x by 4.

4y4=204+3×4

Cancel the common factor of 4.

Cancel the common factor.

4y4=204+3×4

Divide y by 1.

y=204+3×4

y=204+3×4

Simplify 204+3×4.

Divide 20 by 4.

y=5+3×4

Reorder 5 and 3×4.

y=3×4+5

y=3×4+5

y=3×4+5

Rewrite in slope-intercept form.

y=34x+5

y=34x+5

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

m=34

Find the Slope -3x+4y=20