x+8y=0

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

y=mx+b

Subtract x from both sides of the equation.

8y=-x

Divide each term by 8 and simplify.

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

8y8=-x8

Cancel the common factor of 8.

Cancel the common factor.

8y8=-x8

Divide y by 1.

y=-x8

y=-x8

Move the negative in front of the fraction.

y=-x8

y=-x8

Rewrite in slope-intercept form.

y=-18x

y=-18x

Using the slope-intercept form, the y-intercept is 0.

b=0

Find the Y-Intercept x+8y=0