Algebra Examples

y > - 2 x + 1 y

$y > - 2 x + 1 y$

Step 1

Multiply

y

$y$ by

1

$1$ .

y > - 2 x + y

$y > - 2 x + y$

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

$y = m x + b$ , where

m

$m$ is the slope and

b

$b$ is the y-intercept.

y = m x + b

$y = m x + b$

Step 2.1.2

Move all terms containing

y

$y$ to the left side of the inequality.

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Step 2.1.2.1

Subtract

y

$y$ from both sides of the inequality.

y - y > - 2 x

$y - y > - 2 x$

Step 2.1.2.2

Subtract

y

$y$ from

y

$y$ .

0 > - 2 x

$0 > - 2 x$

0 > - 2 x

$0 > - 2 x$

Step 2.1.3

The variable

y

$y$ 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

$y$ is greater than

- 2 x + y

$- 2 x + y$ .

y > - 2 x + y

$y > - 2 x + y$

Step 4