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 :
[tex]y\text{ = mx + c}[/tex]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 :
[tex]f(x)=\text{ y =}mx\text{ +c}[/tex]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
[tex]37)x^2+y^2\text{ = 4 }[/tex]This is not a linear function. The variables are raised to the power of 2.
[tex]38)y=x^3\text{ - 6}[/tex]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.
