Find the y-intercept 10-7y=0

$10 - 7 y = 0$

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 $10$ from both sides of the equation.

$- 7 y = - 10$

Divide each term in $- 7 y = - 10$ by $- 7$ and simplify.

Divide each term in $- 7 y = - 10$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{- 10}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{- 10}{- 7}$

Divide $y$ by $1$ .

$y = \frac{- 10}{- 7}$

Simplify the right side.

Dividing two negative values results in a positive value.

$y = \frac{10}{7}$

Step 2

Using the slope-intercept form, the y-intercept is $\frac{10}{7}$ .

$b = \frac{10}{7}$

Step 3

y-intercept in point form.

$(0, \frac{10}{7})$

Step 4