Which lines are parallel to the graph of 4x – y = 6? check all that apply.

x – 4y = –12

y – 2 = –4(x + 1)

y + 1 = 4(x – 2)

y = 4x + 11

y = x – 3

8x – 2y = 6

The parallel lines have same slope.

we find the slope from slope intercept form for the given line: 4x – y = 6
y = 4x - 6
here slope is m = 4

Now, The equations which are parallel to the given line are:

1) y + 1 = 4(x – 2) or y = 4x - 7 , here m = 4
2)y = 4x + 11 , here m = 4
3) 8x – 2y = 6, here , m= 4

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