Find the y-intercept -10x+11y=17

$- 10 x + 11 y = 17$

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.

$y = m x + b$

Add $10 x$ to both sides of the equation.

$11 y = 17 + 10 x$

Divide each term in $11 y = 17 + 10 x$ by $11$ and simplify.

Divide each term in $11 y = 17 + 10 x$ by $11$ .

$\frac{11 y}{11} = \frac{17}{11} + \frac{10 x}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 y}{11} = \frac{17}{11} + \frac{10 x}{11}$

Divide $y$ by $1$ .

$y = \frac{17}{11} + \frac{10 x}{11}$

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

Reorder $\frac{17}{11}$ and $\frac{10 x}{11}$ .

$y = \frac{10 x}{11} + \frac{17}{11}$

Reorder terms.

$y = \frac{10}{11} x + \frac{17}{11}$

Step 2

Using the slope-intercept form, the y-intercept is $\frac{17}{11}$ .

$b = \frac{17}{11}$

Step 3

y-intercept in point form.

$(0, \frac{17}{11})$

Step 4