Is -3x -35y equals 14 a direct variation?

Answer 1

no. direct variation implies that you can simplify the problem into several forma which are equivalent to y/x = k in which k is called the constant of variation.

one of these equivalent forms would by

y = kx + 0 (slope intercept form) in which the y intercept must be 0

rearranging your equation gives a y- intecept of -14/35 which reduces to -2/5

since this is not zero. this is not direct variation.