Write a rule for the linear function in the table.

Step-by-step explanation:

The general form of a linear function is ax + b.

f(x) = ax + b

f(1) = a + b = -7

f(2) = 2a + b = -10

So using a system of equations we solve for 'a' and 'b'.

a + b = -7 | 2a + b = -10

We multiply the first one by -1.

-a - b = 7 | 2a + b = -10

And then we solve the system by elimination(by adding the equations):

a = -3

Solving for b: a + b = -7 <=> -3 +b = -7 => b = -4

So the general rule of the function is:

f(x) = -3x - 4

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step-by-step explanation:

5 pm

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