Answer:
C) [tex]y < -\frac{3}{2}x+1[/tex]
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
The answer to this question is C) [tex]y < -\frac{3}{2}x+1[/tex]. To prove this we can see that in the graph the value at (x=2) has to be equal be y < -2.
Therefore, this eliminates answers A. and D. , now we just need to plug in the value of 2 for x and solve the equation for y in order to prove that C. is the answer.
[tex]y < -\frac{3}{2}(2)+1[/tex]
[tex]y < -1.5(2)+1[/tex]
[tex]y < -3+1[/tex]
[tex]y < -2[/tex]
Finally, we can see that the answer for y at x=2 is y<-2 which validates our answer.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
