which lines are parallel to the graph of 4x - y = 6? check all that apply.\n□ x - 4y = -12\n□ y - 2 = -4(x +…

Answer:

C. $y + 1 = 4(x - 2)$, D. $y = 4x+11$, F. $8x - 2y = 6$

Explanation:

Step1: Rewrite given line in slope - intercept form

Rewrite $4x - y = 6$ as $y=4x - 6$. The slope $m = 4$.

Step2: Rewrite option A

Rewrite $x - 4y=-12$ as $y=\frac{1}{4}x + 3$, slope is $\frac{1}{4}$, not parallel.

Step3: Rewrite option B

Rewrite $y - 2=-4(x + 1)$ as $y=-4x - 2$, slope is $-4$, not parallel.

Step4: Rewrite option C

$y + 1 = 4(x - 2)$ is already in point - slope form with slope $m = 4$, parallel.

Step5: Rewrite option D

$y = 4x+11$ has slope $m = 4$, parallel.

Step6: Rewrite option E

$y=-\frac{1}{4}x - 3$ has slope $-\frac{1}{4}$, not parallel.

Step7: Rewrite option F

Rewrite $8x - 2y = 6$ as $y = 4x-3$, slope is $4$, parallel.