If y is proportional to |x|, what kind of graph is there between x and y?

Question

|x| stands for 'absolute value of x'.

Answer 1

It is a v shaped graph in all cases

since y proportional to |x| we have
y=k |x|

upward drawn v graph when k positive
y=0 when k=0
and downward drawn v graph when k negative

the angle between the lines decreases as we increase the value of k when k is positve

then angle between the lines decreases as we decrease the value of k when k is negative.

Answer 2

Its a V shaped graph and the bottom of the V goes through the Origin (0,0).