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Semenov [28]
3 years ago
15

2. Create a linear function that has a rate of change of 3 and a solution at (6, 12).

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer:

y = 3x - 6

Step-by-step explanation:

A linear function has the following format:

y = ax + b

In which a is the slope(rate of change) and b is the y-intercept, that is, the value of y when x = 0.

Rate of change of 3

This means that a = 3

So

y = 3x + b

A solution at (6, 12).

This means that when x = 6, y = 12. So

y = 3x + b

12 = 3*6 + b

b = -6

The linear function is:

y = 3x - 6

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Answer

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REASON

As shown in the diagram

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Supplementary angle definition

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thus  we get

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