Write in Slope-Intercept Form 3x-4y<=0

$3 x - 4 y \leq 0$

Step 1

Solve for $y$ .

Subtract $3 x$ from both sides of the inequality.

$- 4 y \leq - 3 x$

Divide each term in $- 4 y \leq - 3 x$ by $- 4$ and simplify.

Divide each term in $- 4 y \leq - 3 x$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 y}{- 4} \geq \frac{- 3 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} \geq \frac{- 3 x}{- 4}$

Divide $y$ by $1$ .

$y \geq \frac{- 3 x}{- 4}$

Simplify the right side.

Dividing two negative values results in a positive value.

$y \geq \frac{3 x}{4}$

Step 2

Reorder terms.

$y \geq \frac{3}{4} x$

Write in Slope-Intercept Form 3x-4y<=0

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