2x-9y=18

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

y=mx+b

Subtract 2x from both sides of the equation.

-9y=18-2x

Divide each term by -9 and simplify.

Divide each term in -9y=18-2x by -9.

-9y-9=18-9+-2x-9

Cancel the common factor of -9.

Cancel the common factor.

-9y-9=18-9+-2x-9

Divide y by 1.

y=18-9+-2x-9

y=18-9+-2x-9

Simplify 18-9+-2x-9.

Simplify each term.

Divide 18 by -9.

y=-2+-2x-9

Dividing two negative values results in a positive value.

y=-2+2×9

y=-2+2×9

Reorder -2 and 2×9.

y=2×9-2

y=2×9-2

y=2×9-2

Rewrite in slope-intercept form.

y=29x-2

y=29x-2

Using the slope-intercept form, the slope is 29.

m=29

Find the Slope 2x-9y=18