4x-5y=-8

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.

-5y=-8-4x

Divide each term by -5 and simplify.

Divide each term in -5y=-8-4x by -5.

-5y-5=-8-5+-4x-5

Cancel the common factor of -5.

Cancel the common factor.

-5y-5=-8-5+-4x-5

Divide y by 1.

y=-8-5+-4x-5

y=-8-5+-4x-5

Simplify -8-5+-4x-5.

Simplify each term.

Dividing two negative values results in a positive value.

y=85+-4x-5

Dividing two negative values results in a positive value.

y=85+4×5

y=85+4×5

Reorder 85 and 4×5.

y=4×5+85

y=4×5+85

y=4×5+85

Rewrite in slope-intercept form.

y=45x+85

y=45x+85

Using the slope-intercept form, the y-intercept is 85.

b=85

Find the Y-Intercept 4x-5y=-8