Graph x

$x < - y$

Solve for $y$ .

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Rewrite so $y$ is on the left side of the inequality.

$- y > x$

Multiply each term in $- y > x$ by $- 1$

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Multiply each term in $- y > x$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$(- y) \cdot - 1 < x \cdot - 1$

Multiply $(- y) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$1 y < x \cdot - 1$

Multiply $y$ by $1$ .

$y < x \cdot - 1$

Simplify $x \cdot - 1$ .

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Move $- 1$ to the left of $x$ .

$y < - 1 \cdot x$

Rewrite $- 1 x$ as $- x$ .

$y < - x$

Use the slope-intercept form to find the slope and y-intercept.

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The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - 1$

$b = 0$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- 1$

y-intercept: $(0, 0)$

Slope: $- 1$

y-intercept: $(0, 0)$

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $- x$ .

$y < - x$

Graph x<-y

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