Question

Which equations and/or functions represent the graphed line? Select four options. f(x) = 0.2x - 4 f(x) = 0.5x + 2 f(x) = x + 2 y – 3 = (x – 2) y – 1 = 0.5(x + 2

Answer 1

Answer:

4) F(x) = (x – 2) y – 1 = xy -2y - 1 is not the graphed line

All other represent the line

Step-by-step explanation:

The functions are

1)  F(x) = 0.2x - 4

2) F(x) = 0.5x + 2

3) F(x) = x + 2 y – 3

4) F(x) = (x – 2) y – 1 = xy -2y - 1

5) F(x) =  0.5(x + 2) = 0.5x + 1

Note that

option 4 contains the xy term which is homogeneous term we can not able to separate it in the F(x).At number (4) F(x) is actually non-linear function.

SO

4) F(x) = (x – 2) y – 1 = xy -2y - 1

is not represent the graph of line.

In other equations or functions.

There are no homogeneous term present so they are all linear functions or equation and hence they all represent the graph of line.