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HELPPP.!!!

Answer choices:

−y ≥ x + 4
−3x + 3y ≤ −9

−y ≤ 3x + 4
−3x + 3y ≤ −9

y ≤ −x − 4
−x − y ≤ − 4

y ≤ −x + 4
−4x + 4y ≤ 16

HELPPP.!!! Answer choices: −y ≥ x + 4 −3x + 3y ≤ −9 −y ≤ 3x + 4 −3x + 3y ≤ −9 y ≤ −x-example-1
User Kevin Fang
by
8.2k points

1 Answer

4 votes

Explanation:

the second option.

you see that the steeper line has a slope of -3 (when x increases by 1 grid point, y decreases by 3 grid points, that makes the slope ratio of y/x = -3/1 = -3).

the slope is always the factor of x in an equation of

y = ax + b

the only equation provided in the answer options with slope -3 is

-y <= 3x + 4

because when we transform this into the general firm above, we need to multiply both sides by -1 (which flips the inequality symbol, by the way) :

y >= -3x - 4

there you have it. no other equation here can be transformed into this.

as a control we also look at the second equation :

-3x + 3y <= -9

3y <= 3x - 9

y <= x - 3

this has a slope of 1 (so, x and y both increase by the same amount), and the y-inteecept is -3 (the y value when x = 0). that also fits the graph.

so, it is all correct.

User Richard Bonneau
by
8.2k points
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