Question

consider the following coordinate points and select the correct answer from the answer column. coordinate points quadrant i quadrant ii quadrant iii quadrant iv (-5,3) (5,12) (-5,-5) (2,-6)

Explanation:

Step1: Recall quadrant rules

In the Cartesian - coordinate system, in Quadrant I: $x>0,y>0$; in Quadrant II: $x < 0,y>0$; in Quadrant III: $x < 0,y < 0$; in Quadrant IV: $x>0,y < 0$.

Step2: Analyze $(-5,3)$

Since $x=-5<0$ and $y = 3>0$, the point $(-5,3)$ is in Quadrant II.

Step3: Analyze $(5,12)$

Since $x = 5>0$ and $y=12>0$, the point $(5,12)$ is in Quadrant I.

Step4: Analyze $(-5,-5)$

Since $x=-5<0$ and $y=-5<0$, the point $(-5,-5)$ is in Quadrant III.

Step5: Analyze $(2,-6)$

Since $x = 2>0$ and $y=-6<0$, the point $(2,-6)$ is in Quadrant IV.

Answer:

$(-5,3)$: Quadrant II
$(5,12)$: Quadrant I
$(-5,-5)$: Quadrant III
$(2,-6)$: Quadrant IV