4y-3x+1=0

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

y=mx+b

Reorder 4y and -3x.

-3x+4y+1=0

Move all terms not containing y to the right side of the equation.

Add 3x to both sides of the equation.

4y+1=3x

Subtract 1 from both sides of the equation.

4y=3x-1

4y=3x-1

Divide each term by 4 and simplify.

Divide each term in 4y=3x-1 by 4.

4y4=3×4+-14

Cancel the common factor of 4.

Cancel the common factor.

4y4=3×4+-14

Divide y by 1.

y=3×4+-14

y=3×4+-14

Move the negative in front of the fraction.

y=3×4-14

y=3×4-14

Rewrite in slope-intercept form.

y=34x-14

y=34x-14

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

m=34

Find the Slope 4y-3x+1=0