Write in Slope-Intercept Form 4x+7y<14

$4 x + 7 y < 14$

Solve for $y$ .

Subtract $4 x$ from both sides of the inequality.

$7 y < 14 - 4 x$

Divide each term in $7 y < 14 - 4 x$ by $7$ and simplify.

Divide each term in $7 y < 14 - 4 x$ by $7$ .

$\frac{7 y}{7} < \frac{14}{7} + \frac{- 4 x}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} < \frac{14}{7} + \frac{- 4 x}{7}$

Divide $y$ by $1$ .

$y < \frac{14}{7} + \frac{- 4 x}{7}$

Simplify the right side.

Simplify each term.

Divide $14$ by $7$ .

$y < 2 + \frac{- 4 x}{7}$

Move the negative in front of the fraction.

$y < 2 - \frac{4 x}{7}$

Rearrange terms.

$y < - \frac{4 x}{7} + 2$

Reorder terms.

$y < - (\frac{4}{7} x) + 2$

Remove parentheses.

$y < - \frac{4}{7} x + 2$