# How do you find the slope and intercept of 2x - y >= 4?

Mar 17, 2016

See explanation

#### Explanation:

Given:$\text{ } 2 x - y \ge 4$

Multiply by (-1) to make y positive. Note that this reverses the $\ge$ sign

$\text{ } - 2 x + y \le - 4$

$\text{ } y \le 2 x - 4$
The slope (gradient) is the coefficient of $x$ which is +2
${x}_{\text{intercept}} \to y = 0 \le 2 x - 4 \to x = 2$
${y}_{\text{intercept}} \to y \le 2 \left(0\right) - 4 \to y = - 4$