Respuesta :

For parallel lines, gradients (slope) must be the same.

The lines given in multiple choice, no line with the same gradient/slope as line y = 3x - 2.

Step-by-step explanation:

From y = 3x - 2,

The slope = 3

Let's check slopes of lines from multiple choice:

From first line

4x + 2y = 5

2y = -4x + 5 (dived 2 both sides)

y = - 2x + 5/2

The slope = -2

Continue with remaining three equations you get slopes: -1/2, -4 and 4.

Hence no equations above represent parallel equation to y = 3x - 2

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