7x-9y=-15

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

y=mx+b

Subtract 7x from both sides of the equation.

-9y=-15-7x

Divide each term by -9 and simplify.

Divide each term in -9y=-15-7x by -9.

-9y-9=-15-9+-7x-9

Cancel the common factor of -9.

Cancel the common factor.

-9y-9=-15-9+-7x-9

Divide y by 1.

y=-15-9+-7x-9

y=-15-9+-7x-9

Simplify -15-9+-7x-9.

Simplify each term.

Cancel the common factor of -15 and -9.

Factor -3 out of -15.

y=-3(5)-9+-7x-9

Cancel the common factors.

Factor -3 out of -9.

y=-3⋅5-3⋅3+-7x-9

Cancel the common factor.

y=-3⋅5-3⋅3+-7x-9

Rewrite the expression.

y=53+-7x-9

y=53+-7x-9

y=53+-7x-9

Dividing two negative values results in a positive value.

y=53+7×9

y=53+7×9

Reorder 53 and 7×9.

y=7×9+53

y=7×9+53

y=7×9+53

Rewrite in slope-intercept form.

y=79x+53

y=79x+53

Using the slope-intercept form, the y-intercept is 53.

b=53

Find the Y-Intercept 7x-9y=-15