Find the y-intercept -7y=35

$- 7 y = 35$

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.

$y = m x + b$

Divide each term in $- 7 y = 35$ by $- 7$ and simplify.

Divide each term in $- 7 y = 35$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{35}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{35}{- 7}$

Divide $y$ by $1$ .

$y = \frac{35}{- 7}$

Simplify the right side.

Divide $35$ by $- 7$ .

$y = - 5$

Step 2

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

$b = - 5$

Step 3

y-intercept in point form.

$(0, - 5)$

Step 4