Question

Which function is a linear function?

A.
1 − 3x2 = -y
B.
y + 7 = 5x
C.
x3 + 4 = y
D.
9(x2 − y) = 3
E.
y − x3 = 8

Answer 1

Answer: y+ 7 = 5x

Explanation:

A linear function is a function in which the highest power of the unknown is 1 , that is , the highest power of the variables that are unknown will be 1.

From the question given:

A : 1 -
`3x^(2)` = -y

The power of x is 2 , though the power of y is 1 but because of the existence of the power of x which is 2 , it is not linear

B : y + 7 = 5x

both the power of x and y is 1 , so it is a linear function

C:
`x^(3)` + 4 = y is not linear

D is also not linear

likewise , E is not linear

Therefore , B is the only linear function