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