Find the linear function with the following properties. f(-2)=-5 f(-1)=2

Kiana Arias

Kiana Arias

Answered question

2022-09-02

Find the linear function with the following properties.
f ( 2 ) = 5 f ( 1 ) = 2

Answer & Explanation

incibracy5x

incibracy5x

Beginner2022-09-03Added 21 answers

Solution:
f ( 2 ) = 5 f ( 1 ) = 2 ( 2 , 5 ) , ( 1 , 2 )   ( x 1 = 2 ,   y 1 = 5 ;   x 2 = 1 ,   y 2 = 2 ) m = y 2 y 1 x 2 x 1 ( x 1 , y 1 ) = ( 2 , 5 ) ( x 2 , y 2 ) = ( 1 , 2 ) m = 2 ( 5 ) 1 ( 2 ) = 2 + 5 1 + 2 = 7 1 = 7 y y 1 = m ( x x 1 ) y ( 5 ) = 7 ( x ( 2 ) ) y + 5 = 7 ( x + 2 ) y + 5 = 7 x + 14 y = 7 x + 9 f ( x ) = 7 x + 9

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