Question

identify the following points.
states that the coordinates $(-\frac{2}{3},\frac{5}{4})$ is in quadrant 3. vince disagrees and says that it is in qua
emilio is
vince is
neither are
correct. the coordinates $(-\frac{2}{3},\frac{5}{4})$ are in
quadrant 1
quadrant 2
quadrant 3
quadrant 4
x - coordinate is negative, and the y - coordinate is positive.
x - coordinate is positive, and the y - coordinate is positive.
x - coordi

Explanation:

Step1: Recall quadrant rules

In a Cartesian - coordinate system, Quadrant 1 has \(x>0,y > 0\), Quadrant 2 has \(x<0,y>0\), Quadrant 3 has \(x < 0,y<0\), and Quadrant 4 has \(x>0,y < 0\).

Step2: Analyze the given coordinates \((-\frac{2}{3},\frac{5}{4})\)

The \(x\) - coordinate \(x =-\frac{2}{3}<0\) and the \(y\) - coordinate \(y=\frac{5}{4}>0\). According to the quadrant rules, a point with a negative \(x\) - coordinate and a positive \(y\) - coordinate lies in Quadrant 2. So Vince is correct.

Answer:

Vince is
Quadrant 2
x - coordinate is negative, and the y - coordinate is positive