Question

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

Answer 1

Answer: Options 3, 4, 6

Explanation:

`4x-y=6 \\\\-4x+y=-6\\\\y=4x-6`

This means are looking for lines with a slope of 4 (since parallel lines have the same slope).

• x – 4y = –12: This rearranges to y=0.25x+3, so the slope is 1/4.
• y – 2 = –4(x + 1): This has a slope of -4.
• y + 1 = 4(x – 2): This has a slope of 4.
• y = 4x + 11: This has a slope of 4.
• y = x – 3: This has a slope of 1.
• 8x – 2y = 6: This rearranges to y=4x-3, so the slope is 4.