x+4y=24

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.

4y=24-x

Divide each term by 4 and simplify.

Divide each term in 4y=24-x by 4.

4y4=244+-x4

Cancel the common factor of 4.

Cancel the common factor.

4y4=244+-x4

Divide y by 1.

y=244+-x4

y=244+-x4

Simplify 244+-x4.

Simplify each term.

Divide 24 by 4.

y=6+-x4

Move the negative in front of the fraction.

y=6-x4

y=6-x4

Reorder 6 and -x4.

y=-x4+6

y=-x4+6

y=-x4+6

Rewrite in slope-intercept form.

y=-14x+6

y=-14x+6

Using the slope-intercept form, the y-intercept is 6.

b=6

Find the Y-Intercept x+4y=24