x+4y=23

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=23-x

Divide each term by 4 and simplify.

Divide each term in 4y=23-x by 4.

4y4=234+-x4

Cancel the common factor of 4.

Cancel the common factor.

4y4=234+-x4

Divide y by 1.

y=234+-x4

y=234+-x4

Simplify 234+-x4.

Move the negative in front of the fraction.

y=234-x4

Reorder 234 and -x4.

y=-x4+234

y=-x4+234

y=-x4+234

Rewrite in slope-intercept form.

y=-14x+234

y=-14x+234

Using the slope-intercept form, the y-intercept is 234.

b=234

Find the Y-Intercept x+4y=23