5x+9y=45

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=45-5x

Divide each term by 9 and simplify.

Divide each term in 9y=45-5x by 9.

9y9=459+-5×9

Cancel the common factor of 9.

Cancel the common factor.

9y9=459+-5×9

Divide y by 1.

y=459+-5×9

y=459+-5×9

Simplify 459+-5×9.

Simplify each term.

Divide 45 by 9.

y=5+-5×9

Move the negative in front of the fraction.

y=5-5×9

y=5-5×9

Reorder 5 and -5×9.

y=-5×9+5

y=-5×9+5

y=-5×9+5

Rewrite in slope-intercept form.

y=-59x+5

y=-59x+5

Using the slope-intercept form, the y-intercept is 5.

b=5

Find the Y-Intercept 5x+9y=45