5x+8y+40=0

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

y=mx+b

Move all terms not containing y to the right side of the equation.

Subtract 5x from both sides of the equation.

8y+40=-5x

Subtract 40 from both sides of the equation.

8y=-5x-40

8y=-5x-40

Divide each term by 8 and simplify.

Divide each term in 8y=-5x-40 by 8.

8y8=-5×8+-408

Cancel the common factor of 8.

Cancel the common factor.

8y8=-5×8+-408

Divide y by 1.

y=-5×8+-408

y=-5×8+-408

Simplify each term.

Move the negative in front of the fraction.

y=-(5)x8+-408

Divide -40 by 8.

y=-5×8-5

y=-5×8-5

y=-5×8-5

Rewrite in slope-intercept form.

y=-58x-5

y=-58x-5

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

b=-5

Find the Y-Intercept 5x+8y+40=0