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!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80