Question

a1 lesson 2.2 homework

1. a point has a positive x -coordinate and a negative y -coordinate. what quadrant is the point in?
2. let y represent the number of retweets on a celebritys tweet, in thousands, and x represent the number of hours since the tweet was posted. the point (3,2) is on the graph of this relationship. what does this point mean?

Explanation:

1.

Step1: Recall quadrant rules

In a Cartesian - coordinate system, the first quadrant has positive \(x\) and positive \(y\) coordinates (\(x>0,y > 0\)), the second quadrant has negative \(x\) and positive \(y\) coordinates (\(x<0,y>0\)), the third quadrant has negative \(x\) and negative \(y\) coordinates (\(x < 0,y<0\)), and the fourth quadrant has positive \(x\) and negative \(y\) coordinates (\(x>0,y < 0\)).

Step2: Identify the quadrant

Since the point has a positive \(x\) - coordinate and a negative \(y\) - coordinate (\(x>0,y < 0\)), it is in the fourth quadrant.

Given that \(y\) represents the number of hours since the tweet was posted and \(x\) represents the number of retweets (in thousands). The point \((3,2)\) means that 2 hours after the tweet was posted, there were 3000 retweets (because \(x = 3\) represents 3 thousands of retweets).

Answer:

Fourth quadrant

2.