Question

if f(x)=mx+n,where m, n are integers f(-2) =7 and f(3)=2 then m and n are equal to
a)-1,-5
b)1,-9
c)-1,5
d) 1,9​

Answer 1

option c -1, 5 is correct

Answer 2

Answer:

The correct answer is option (C) -1, 5.

Step-by-step explanation:

For f(-2) = 7

f(x)=mx+n

∴ f(-2) = m(-2) + n

∴ 7 = -2m + n

∴ n= 7 + 2m

For f(3) = 2

f(x)= mx+n

∴f(3) = m(3) + n

∴ 2 = 3m + n

But, n = 7 + 2m

∴ 2 = 3m + 7 + 2m

∴ 2 = 5m + 7

∴5m = 2-7

∴ 5m = (-5)

∴ m = (-1)

Putting m=(-1) in n = 7 + 2m

∴ n = 7 + 2(-1)

∴ n = 7 -2

∴ n= 5

So, m= (-1) and n= 5.

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