Question

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Which linear inequality is represented by the graph?


y ≥ x – 4

y ≤ x – 4

y ≤ x + 4

y ≥ x + 4

Answer 1

ANSWER

$y \leqslant \frac{1}{3}x - 4$

EXPLANATION

First, find the equation of the boundary line which passes through the point

(3,-3) and has a y-intercept of -4.

The slope of this line is,

$m = \frac{ - 4 - - 3}{0 - 3} = \frac{1}{3}$

The equation of this line is

$y = \frac{1}{3}x - 4$

Since the lower half plane is shaded and the boundary line is solid. The required inequality is

$y \leqslant \frac{1}{3}x - 4$

Answer 2

Answer:

The answer is B.

Step-by-step explanation: