Graph -4y<=16x

$- 4 y \leq 16 x$

Step 1

Divide each term in $- 4 y \leq 16 x$ by $- 4$ and simplify.

Divide each term in $- 4 y \leq 16 x$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 y}{- 4} \geq \frac{16 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} \geq \frac{16 x}{- 4}$

Divide $y$ by $1$ .

$y \geq \frac{16 x}{- 4}$

Simplify the right side.

Cancel the common factor of $16$ and $- 4$ .

Factor $4$ out of $16 x$ .

$y \geq \frac{4 (4 x)}{- 4}$

Move the negative one from the denominator of $\frac{4 x}{- 1}$ .

$y \geq - 1 \cdot (4 x)$

Simplify the expression.

Rewrite $- 1 \cdot (4 x)$ as $- (4 x)$ .

$y \geq - (4 x)$

Multiply $4$ by $- 1$ .

$y \geq - 4 x$

Step 2

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

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 $y = m x + b$ .

$m = - 4$

$b = 0$

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

Slope: $- 4$

y-intercept: $(0, 0)$

Slope: $- 4$

y-intercept: $(0, 0)$

Step 3

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $- 4 x$ .

$y \geq - 4 x$

Step 4

Graph -4y<=16x

Related Questions

Support LCMGCF.com by disabling your adblocker.