I need some help with graphs?

Question

1)If y is proportional to mod x, what kind of graph is there between x and y?

2)Find the area enclosed by this graph with the axes:
mod x + mod y = 4

3) Show that for any value of m, the equation mx - y = 6m - 11 represents a straight line passing through a fixed point. What is that point?


'mod' means 'absolute value of'

Answer 1

1) There is a v with slope m = 1 terminating at (0,0)

2) There is a square formed by to v's, both slope m = 1, one terminating at 0,-4 and the other at 0,4 and reflected over the line y = 4

3) I don't get the equation here, please write it more clearly.

Also, mod does not equal absolute value. It means modulo which is the function y mod x = if x > y then mod x = y - x.

Answer 2

(1)it is the line which bisect both x and y axis passing through the origin
(3)for m=0 and point is 11