I've provided a screenshot below. In the question, I don't understand why it can't be D. Like both C and D have the same slope, y= 2/3x. The only difference is what comes after for those two. So why is it y=2/3x -12 and not y= 2/3x +1 ???

Choice C is the only equation with slope 2/3, while choice D has slope -2/3. This subtle difference is enough that the two lines are not parallel. The positive slope line goes uphill when moving to the right. The negative slope line goes in the opposite direction: it goes downhill when moving to the left.

The graph is below comparing the original equation with choices C and D. I used GeoGebra to make the graph, but you could use any other tool you want (eg: Desmos).

y = 2/3x - 12 is correct

Step-by-step explanation:

D is incorrect because the slope is -2/3

To have a parallel line, you have to have the some slope, but a different y- intercept

Ill graph y = -2/3x + 1 and y = 2/3x + 5/6 and show you:

If my answer is incorrect, pls correct me!

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-Chetan K

the barter

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64