Question

Função do tipo F(x)= ax+b
A(-3,4) e B(5,7)

Answer 1

f ( x ) = ax + b

f ( - 3 ) = - 3a + b

4 = - 3a + b

f ( x ) = ax + b

f ( 5 ) = 5a + b

7 = 5a + b

- 3a + b = 4 ( multiplicar por - 1)

5a + b = 7

3a - b = - 4

5a + b = 7

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8a = 3

a = 3/8

5a + b = 7

5 • 3/8 + b = 7

15 / 8 + b = 7

b = 7 - 15 / 8

b = ( 56 - 15 ) / 8

b = 41 / 8

f ( x ) = ax + b

f( x ) = 3/8 x + 41 / 8