Find the linear function with the following properties

Question

f(-6)=-2 

 

slope of f= 1/3

Answer 1

Any linear function is of the form  y = f(x) = M x +  b where M is the slope and b is the y-intercept.

This is the MASTER EQUATION.

 

f(-6) = -2  means that when x = -6 then y = -2  or the ordered pair ( -6,-2) is on the line.

 

The slope is given to be M=1/3

 

Plugging these into the MASTER EQUATION:

   -2 = (1/3)(-6) + B

  -2  =   -6/3 + B

 -2 = -2 + B

 B = 0

 

So there is no y-intercept after all.

 

The linear function is just y = f(x) = (1/3)x