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If (1,2), and ( - 20,9) are two solutions of f(x) = mx
b. find m and b.

If 12 And 209 Are Two Solutions Of Fx Mx B Find M And B class=

Sagot :

MrRoyal

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

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

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