4y-2x-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 -2x.

-2x+4y-1=0

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

Add 2x to both sides of the equation.

4y-1=2x

Add 1 to both sides of the equation.

4y=2x+1

4y=2x+1

Divide each term by 4 and simplify.

Divide each term in 4y=2x+1 by 4.

4y4=2×4+14

Cancel the common factor of 4.

Cancel the common factor.

4y4=2×4+14

Divide y by 1.

y=2×4+14

y=2×4+14

Cancel the common factor of 2 and 4.

Factor 2 out of 2x.

y=2(x)4+14

Cancel the common factors.

Factor 2 out of 4.

y=2×2⋅2+14

Cancel the common factor.

y=2×2⋅2+14

Rewrite the expression.

y=x2+14

y=x2+14

y=x2+14

y=x2+14

Rewrite in slope-intercept form.

y=12x+14

y=12x+14

Using the slope-intercept form, the slope is 12.

m=12

Find the Slope 4y-2x-1=0