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Sagot :

Bonjour,

f(x)= ax+b

calcul de a:

a= (-16-3)/(4-(-2)= -19/6=

calcul de b

M (4) = -16​

-19/6(4)+b= -16

-76/4+b= -16

b= -16+19

b= 3

donc M(x)= -19x/6+3

VINS

bonjour

M ( - 2) = 3  et  M ( 4) = - 16  

( - 16 - 3) ( 4 + 2 ) =  - 19/6

M ( 4) = - 16

4 * - 19/6 + b = - 16

- 76/6 + b = - 16  ⇔ b = 76/6  - 96/6 = - 20/6 = - 10 /3

M (x) =  - 19 x /6 - 10 /3

d'où  M ( - 2) =   - 2 * - 19 /6 - 10 /3  

M ( - 2 ) =  38/6 - 20 /6  = 18/6 =  3

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