Linear relations are not functions when they appear graphically are vertical lines.
" Function is defined as when the relation between variables are such that each input has one and only one output."
According to the question,
Linear relation are defined as y = ax + b
A. Horizontal lines is expressed by equation y = 0x + b
For each x = 0 , 1, 2, 3, .... value of y = b. For each input single output 'b' is defined.
Horizontal lines represent the function.
B. Linear relation represents straight line .
For example y = 2x +3
For each x we have single output y.
Therefore linear relation represents function.
C. Vertical lines x = k , here for x=k there are many outputs y = 0,1, 2, 3....
Vertical line does not represent function.
Hence, linear relations are not functions when they appear graphically are vertical lines.
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