Answer:
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
