4x-9y=5

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

y=mx+b

Subtract 4x from both sides of the equation.

-9y=5-4x

Divide each term by -9 and simplify.

Divide each term in -9y=5-4x by -9.

-9y-9=5-9+-4x-9

Cancel the common factor of -9.

Cancel the common factor.

-9y-9=5-9+-4x-9

Divide y by 1.

y=5-9+-4x-9

y=5-9+-4x-9

Simplify 5-9+-4x-9.

Simplify each term.

Move the negative in front of the fraction.

y=-59+-4x-9

Dividing two negative values results in a positive value.

y=-59+4×9

y=-59+4×9

Reorder -59 and 4×9.

y=4×9-59

y=4×9-59

y=4×9-59

Rewrite in slope-intercept form.

y=49x-59

y=49x-59

Using the slope-intercept form, the slope is 49.

m=49

Find the Slope 4x-9y=5