Find the y-intercept 12x-19y=95

$12 x - 19 y = 95$

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 $12 x$ from both sides of the equation.

$- 19 y = 95 - 12 x$

Divide each term in $- 19 y = 95 - 12 x$ by $- 19$ and simplify.

Divide each term in $- 19 y = 95 - 12 x$ by $- 19$ .

$\frac{- 19 y}{- 19} = \frac{95}{- 19} + \frac{- 12 x}{- 19}$

Simplify the left side.

Cancel the common factor of $- 19$ .

Cancel the common factor.

$\frac{- 19 y}{- 19} = \frac{95}{- 19} + \frac{- 12 x}{- 19}$

Divide $y$ by $1$ .

$y = \frac{95}{- 19} + \frac{- 12 x}{- 19}$

Simplify the right side.

Simplify each term.

Divide $95$ by $- 19$ .

$y = - 5 + \frac{- 12 x}{- 19}$

Dividing two negative values results in a positive value.

$y = - 5 + \frac{12 x}{19}$

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

Reorder $- 5$ and $\frac{12 x}{19}$ .

$y = \frac{12 x}{19} - 5$

Reorder terms.

$y = \frac{12}{19} x - 5$

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