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Consider the equation y = –3(x – 3).

Which equation, when graphed with the given equation, will form a system with lines that overlap?
y = –3x – 9
y = –3x – 3
y = –3x + 3
y = –3x + 9

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Answer:

y = –3x + 9

Step-by-step explanation:

expand the equation y = –3(x – 3)

-3 × x is -3

-3 × -3 is +9

The equation when graphed with the equation y=-3(x-3) will form a system with lines that overlap.

What will be the equation when graphed that will overlap with the above equation?

Given:

  • The equation is y=-3(x-3).

Find:

  • The equation when graphed with the given equation will form a system with lines that overlap.

Solution:

As the given equation is:

                     y = -3(x-3)

Now, we will simplify it;

So, y = -3(x-3)

⇒ y = -3*x -3*(-3)

⇒ y = -3x+9

Hence, The equation when graphed with the given equation will form a system with lines that overlap y = -3x+9.

Therefore, Option D is the correct answer.

To learn more about equations, refer to:

https://brainly.com/question/8806877

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