9x=2y-4

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

y=mx+b

Rewrite the equation as 2y-4=9x.

2y-4=9x

Add 4 to both sides of the equation.

2y=9x+4

Divide each term by 2 and simplify.

Divide each term in 2y=9x+4 by 2.

2y2=9×2+42

Cancel the common factor of 2.

Cancel the common factor.

2y2=9×2+42

Divide y by 1.

y=9×2+42

y=9×2+42

Divide 4 by 2.

y=9×2+2

y=9×2+2

Rewrite in slope-intercept form.

y=92x+2

y=92x+2

Using the slope-intercept form, the slope is 92.

m=92

Find the Slope 9x=2y-4