Find the y-intercept 5y=5x-10

$5 y = 5 x - 10$

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 $5 y = 5 x - 10$ by $5$ and simplify.

Divide each term in $5 y = 5 x - 10$ by $5$ .

$\frac{5 y}{5} = \frac{5 x}{5} + \frac{- 10}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{5 x}{5} + \frac{- 10}{5}$

Divide $y$ by $1$ .

$y = \frac{5 x}{5} + \frac{- 10}{5}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $5$ .

Cancel the common factor.

$y = \frac{5 x}{5} + \frac{- 10}{5}$

Divide $x$ by $1$ .

$y = x + \frac{- 10}{5}$

Divide $- 10$ by $5$ .

$y = x - 2$

Step 2

Using the slope-intercept form, the y-intercept is $- 2$ .

$b = - 2$

Step 3

y-intercept in point form.

$(0, - 2)$

Step 4