Question

WILL GIVE BRAINLIEST 27 points

Answer 1

A direct variation must satisfy both of two conditions:
1. It must pass through the origin (which this graph does)
2. It must be a straight line (which this graph does not satisfy).
Therefore the given graph is NOT a direct variation.

Corollary:
If a function satisfies both of the above conditions, it has an equation of the form 
y=kx
where k is a constant not equal to zero.

This way, we can tell a direct variation even from an equation.
Note: y=4x+2 is NOT a direct variation because the "+2" makes the straight line not pass through the origin.
y=2x^2 is not a direct variation because a function containing any other power of x is no longer a straight line.

Answer 2

It is not direct variation because it does not follow the equation 
y = slopex
THE points do not make the equation true .