-5x-4y=40

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

y=mx+b

Add 5x to both sides of the equation.

-4y=40+5x

Divide each term by -4 and simplify.

Divide each term in -4y=40+5x by -4.

-4y-4=40-4+5x-4

Cancel the common factor of -4.

Cancel the common factor.

-4y-4=40-4+5x-4

Divide y by 1.

y=40-4+5x-4

y=40-4+5x-4

Simplify 40-4+5x-4.

Simplify each term.

Divide 40 by -4.

y=-10+5x-4

Move the negative in front of the fraction.

y=-10-5×4

y=-10-5×4

Reorder -10 and -5×4.

y=-5×4-10

y=-5×4-10

y=-5×4-10

Rewrite in slope-intercept form.

y=-54x-10

y=-54x-10

Using the slope-intercept form, the y-intercept is -10.

b=-10

Find the Y-Intercept -5x-4y=40