Find an equation for the line below.

Mathematics

1 answer:

Nuetrik [128]1 year ago

7 0

Answer:

f(x) = -5/3x + 5/3

Step-by-step explanation:

if x = 4 ; f(x) = -5

if x = -2 ; f(x) = 5

f(x) = ax + b

-5 = 4a + b (1) 

and

5 = -2a + b (2)

(1) + (2) 

2a + 2b = 0

a = -b

(1) -5 = 4a - a

-5 = 3a

a = -5/3

Answer :

f(x) = -5/3x + 5/3

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