Question

State whether each function is a linear function. Write yes or no. Explain Question 36 to 41

Answer 1

36) yes 37) No 38) No 39) yes 40) yes 41) yes

First to determine which of the question falls under linear function, we need to understand what a linear function is.

A linear function is in the form of :

`y\text{ = mx + c}`

Where y is the dependent variable, x is the independent variable, m is the slope and c represent the constant.

The graph of a linear function is a straight line. The variables are raised to the power of one. It is also written in the form of :

`f(x)=\text{ y =}mx\text{ +c}`

From the above, let's determine the questions that fall under linear function.

36) 3x+4y=12

by making y the subject of formula:

y = -3x/4 + 12/4

y = -3x/4 + 3

This is a linear function

`37)x^2+y^2\text{ = 4 }`

This is not a linear function. The variables are raised to the power of 2.

`38)y=x^3\text{ - 6}`

This is not a linear function. one of the variables is raised to the power of 3.

39) y = 6x -19

This is a linear function.

40) f(x) = -2x+9

f(x) is the same as y:

y = -2x+9

This is a linear function

41) 1/x + 3y = -5

making y the subject of formula

3y = -1/x -5

y = -1/3x -5/3

This is also a linear function.