Write in Standard Form y=-11/3x-2 5/6

$y = - \frac{11}{3} x - 2 \frac{5}{6}$

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$y = a x^{2} + b x + c$

Convert $2 \frac{5}{6}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$y = - \frac{11}{3} x - (2 + \frac{5}{6})$

Add $2$ and $\frac{5}{6}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$y = - \frac{11}{3} x - (2 \cdot \frac{6}{6} + \frac{5}{6})$

Combine $2$ and $\frac{6}{6}$ .

$y = - \frac{11}{3} x - (\frac{2 \cdot 6}{6} + \frac{5}{6})$

Combine the numerators over the common denominator.

$y = - \frac{11}{3} x - \frac{2 \cdot 6 + 5}{6}$

Simplify the numerator.

Multiply $2$ by $6$ .

$y = - \frac{11}{3} x - \frac{12 + 5}{6}$

Add $12$ and $5$ .

$y = - \frac{11}{3} x - \frac{17}{6}$

Simplify each term.

Combine $x$ and $\frac{11}{3}$ .

$y = - \frac{x \cdot 11}{3} - \frac{17}{6}$

Move $11$ to the left of $x$ .

$y = - \frac{11 x}{3} - \frac{17}{6}$

Reorder terms.

$y = - (\frac{11}{3} x) - \frac{17}{6}$

Remove parentheses.

$y = - \frac{11}{3} x - \frac{17}{6}$