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

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Answer 1 · 2016-03-17T11:40:29

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Given: $2 x - y \geq 4$ $" "2x-y>=4$

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

$- 2 x + y \leq - 4$ $" "-2x+y<=-4$

Add 2x# to both sides

$y \leq 2 x - 4$ $" "y<=2x-4$

The slope (gradient) is the coefficient of $x$ $x$ which is +2

$x_{intercept} \to y = 0 \leq 2 x - 4 \to x = 2$ $x_("intercept")-> y=0<=2x-4 -> x=2$

$y_{intercept} \to y \leq 2 (0) - 4 \to y = - 4$ $y_("intercept")-> y<=2(0)-4-> y=-4$

How do you find the slope and intercept of 2x - y >= 42x−y≥42x - y >= 4?