Graph x>=2y

$x \geq 2 y$

Step 1

Write in $y = m x + b$ form.

Solve for $y$ .

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

$2 y \leq x$

Divide each term in $2 y \leq x$ by $2$ and simplify.

Divide each term in $2 y \leq x$ by $2$ .

$\frac{2 y}{2} \leq \frac{x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} \leq \frac{x}{2}$

Divide $y$ by $1$ .

$y \leq \frac{x}{2}$

Reorder terms.

$y \leq \frac{1}{2} x$

Step 2

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

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

$m = \frac{1}{2}$

$b = 0$

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

Slope: $\frac{1}{2}$

y-intercept: $(0, 0)$

Slope: $\frac{1}{2}$

y-intercept: $(0, 0)$

Step 3

Graph a solid line, then shade the area below the boundary line since $y$ is less than $\frac{1}{2} x$ .

$y \leq \frac{1}{2} x$

Step 4