Respuesta :

Answer:

(-9, 7)

Step-by-step explanation:

For this, we can just put in the values of x and y to see if the equations fit.

y > [tex]\frac{2}{3}[/tex]x - 4

9 > [tex]\frac{2}{3}[/tex](6) - 4

9 > 4 - 4

9 > 0 (Correct, now let's check if it fits the other equation)

y < -4x - 6

9 < -4(6) - 6

9 < -24 - 6

9 < -30 (Wrong, so Option 1 is not the answer)

y > [tex]\frac{2}{3}[/tex]x - 4

7 > [tex]\frac{2}{3}[/tex](-9) - 4

7 > -6 - 4

7 > -10 (Correct, now let's check if it fits the other equation)

y < -4x - 6

7 < -4(-9) - 6

7 < 36 - 6

7 < 30 (Correct, so Option 2 is the answer to both equations)

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