The function f(x) = mx + b is a linear function, and the values of m and b are -1/3 and 7/3, respectively
How to determine the values of m and b?
The function is given as:
f(x) = mx + b
The solutions are (1,2) and (-20,9)
The above points mean that:
1 * m + b = 2
-20 * m + b = 9
This gives
m + b = 2
-20m + b = 9
Subtract both equations
m + 20m = 2 - 9
Evaluate the difference and sum
21m = -7
Divide both sides by 21
m = -1/3
Substitute m = -1/3 in m + b = 2
-1/3 + b = 2
Add 1/3 to both sides
b = 2 + 1/3
Evaluate
b = 7/3
Hence, the values of m and b are -1/3 and 7/3, respectively
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