Write in Slope-Intercept Form x-2y<6

$x - 2 y < 6$

Solve for $y$ .

Subtract $x$ from both sides of the inequality.

$- 2 y < 6 - x$

Divide each term in $- 2 y < 6 - x$ by $- 2$ and simplify.

Divide each term in $- 2 y < 6 - x$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 y}{- 2} > \frac{6}{- 2} + \frac{- x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} > \frac{6}{- 2} + \frac{- x}{- 2}$

Divide $y$ by $1$ .

$y > \frac{6}{- 2} + \frac{- x}{- 2}$

Simplify the right side.

Simplify each term.

Divide $6$ by $- 2$ .

$y > - 3 + \frac{- x}{- 2}$

Dividing two negative values results in a positive value.

$y > - 3 + \frac{x}{2}$

Rearrange terms.

$y > \frac{x}{2} - 3$

Reorder terms.

$y > \frac{1}{2} x - 3$

Write in Slope-Intercept Form x-2y<6

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