PLEASE HELP!! Determine whether the following graph is a direct variation. Explain how you came to your conclusion.

Step-by-step explanation:

If the graph is of direct variation / proportional relationship, the 3 points on the graph should be collinear.

First we find the slope from (0,0) to (2,4):

Slope = 4/2 = 2.

Next we find the slope from (2,4) to (3,9):

Slope = √[(9-4)² + (3-2)²] = √26.

Since 2 =/= √26, the graph is not of direct variation.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.