Graph x<=6y

$x \leq 6 y$

Step 1

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

Solve for $y$ .

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

$6 y \geq x$

Divide each term in $6 y \geq x$ by $6$ and simplify.

Divide each term in $6 y \geq x$ by $6$ .

$\frac{6 y}{6} \geq \frac{x}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} \geq \frac{x}{6}$

Divide $y$ by $1$ .

$y \geq \frac{x}{6}$

Reorder terms.

$y \geq \frac{1}{6} x$

Step 2

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

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

$m = \frac{1}{6}$

$b = 0$

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

Slope: $\frac{1}{6}$

y-intercept: $(0, 0)$

Slope: $\frac{1}{6}$

y-intercept: $(0, 0)$

Step 3

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $\frac{1}{6} x$ .

$y \geq \frac{1}{6} x$

Step 4