Question

The graph of which of the following will be parallel to the graph of y = 2x – 4?. . . A.. 2x + y = 4. B.. 4x – 2y = –12. C.. y = –4x + 8. D.. y = 3x – 4

Answer 1

Parallel lines have the same gradient.
The equations are either in the form y = mx+b (m is the gradient)
or in general form ax + by + c = 0 (-a/b)

The gradient of y = 2x - 4 is 2.

The answer is B (gradient = -4/-2 = 2)

Answer 2

Parallel objects are objects that never meet. For the case of lines, however how long you extend the lines they will never intersect. This happens when they have the same slopes. Therefore, the correct answer among the choices listed is option A. This is because it has the same slope with the given equation which is 2.