Question

let f= (1 4) ,(2 5),(3 6) ,(4 k) is a linear function then find the value of function and value of k​

Answer 1

let f(x)=ax+b=y

at (1,4) = a(1)+b=4

 =   a+b=4   --------- (1)

at (2,5) =a(2)+b=5

 =   2a+b=5 ----------(2)

subract  (1) &(2)

-a - b = -4

-2a -b = -5

= -3a =-9

a= -9/-3

a=3.

From (1) &(3)

a+b=4

3 + b =4

b=4-3

b= 1.

now f(x) =x+3

at (4,k)

k= 4+3

k= 7

therefore (4,7)

Step-by-step explanation: