Algebra Examples

$y > - 2 x + 1 y$

Step 1

Multiply $y$ by $1$ .

$y > - 2 x + y$

Step 2

Find the slope and the y-intercept for the boundary line.

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Step 2.1

Rewrite in slope-intercept form.

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Step 2.1.1

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

$y = m x + b$

Step 2.1.2

Move all terms containing $y$ to the left side of the inequality.

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Step 2.1.2.1

Subtract $y$ from both sides of the inequality.

$y - y > - 2 x$

Step 2.1.2.2

Subtract $y$ from $y$ .

$0 > - 2 x$

Step 2.1.3

The variable $y$ got canceled.

All real numbers

Step 2.2

The equation is not linear, so a constant slope does not exist.

Not Linear

Step 3

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $- 2 x + y$ .

$y > - 2 x + y$

Step 4