5x-9y=11

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

y=mx+b

Subtract 5x from both sides of the equation.

-9y=11-5x

Divide each term by -9 and simplify.

Divide each term in -9y=11-5x by -9.

-9y-9=11-9+-5x-9

Cancel the common factor of -9.

Cancel the common factor.

-9y-9=11-9+-5x-9

Divide y by 1.

y=11-9+-5x-9

y=11-9+-5x-9

Simplify 11-9+-5x-9.

Simplify each term.

Move the negative in front of the fraction.

y=-119+-5x-9

Dividing two negative values results in a positive value.

y=-119+5×9

y=-119+5×9

Reorder -119 and 5×9.

y=5×9-119

y=5×9-119

y=5×9-119

Rewrite in slope-intercept form.

y=59x-119

y=59x-119

Using the slope-intercept form, the slope is 59.

m=59

Find the Slope 5x-9y=11