Find the y-intercept 20x-22y=88

$20 x - 22 y = 88$

Step 1

Rewrite in slope-intercept form.

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

$y = m x + b$

Subtract $20 x$ from both sides of the equation.

$- 22 y = 88 - 20 x$

Divide each term in $- 22 y = 88 - 20 x$ by $- 22$ and simplify.

Divide each term in $- 22 y = 88 - 20 x$ by $- 22$ .

$\frac{- 22 y}{- 22} = \frac{88}{- 22} + \frac{- 20 x}{- 22}$

Simplify the left side.

Cancel the common factor of $- 22$ .

Cancel the common factor.

$\frac{- 22 y}{- 22} = \frac{88}{- 22} + \frac{- 20 x}{- 22}$

Divide $y$ by $1$ .

$y = \frac{88}{- 22} + \frac{- 20 x}{- 22}$

Simplify the right side.

Simplify each term.

Divide $88$ by $- 22$ .

$y = - 4 + \frac{- 20 x}{- 22}$

Cancel the common factor of $- 20$ and $- 22$ .

Factor $- 2$ out of $- 20 x$ .

$y = - 4 + \frac{- 2 (10 x)}{- 22}$

Cancel the common factors.

Factor $- 2$ out of $- 22$ .

$y = - 4 + \frac{- 2 (10 x)}{- 2 (11)}$

Cancel the common factor.

$y = - 4 + \frac{- 2 (10 x)}{- 2 \cdot 11}$

Rewrite the expression.

$y = - 4 + \frac{10 x}{11}$

Write in $y = m x + b$ form.

Reorder $- 4$ and $\frac{10 x}{11}$ .

$y = \frac{10 x}{11} - 4$

Reorder terms.

$y = \frac{10}{11} x - 4$

Step 2

Using the slope-intercept form, the y-intercept is $- 4$ .

$b = - 4$

Step 3

y-intercept in point form.

$(0, - 4)$

Step 4