Question

name the quadrant or axis where each point lies. (-5, 3): (choose one) (3, 3): (choose one) (-7, -6): (choose one) (7, 0): (choose one)

Explanation:

Step1: Recall quadrant rules

In a coordinate - plane, for a point $(x,y)$:

• Quadrant I: $x>0,y > 0$
• Quadrant II: $x<0,y>0$
• Quadrant III: $x<0,y < 0$
• Quadrant IV: $x>0,y<0$
• $x$ - axis: $y = 0$
• $y$ - axis: $x = 0$

Step2: Analyze $(-5,3)$

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

Step3: Analyze $(3,3)$

Since $x = 3>0$ and $y=3>0$, the point $(3,3)$ lies in Quadrant I.

Step4: Analyze $(-7,-6)$

Since $x=-7<0$ and $y=-6<0$, the point $(-7,-6)$ lies in Quadrant III.

Step5: Analyze $(7,0)$

Since $y = 0$, the point $(7,0)$ lies on the $x$ - axis.

Answer:

$(-5,3)$: Quadrant II
$(3,3)$: Quadrant I
$(-7,-6)$: Quadrant III
$(7,0)$: $x$ - axis