Question

name the quadrant or axis where each point lies. (-4, 2): (choose one) (-4, -3): (choose one) (6, -6): (choose one) (0, 8): (choose one)

Explanation:

Step1: Recall quadrant rules

In a coordinate - plane, for a point $(x,y)$: In Quadrant I, $x>0$ and $y > 0$; in Quadrant II, $x<0$ and $y>0$; in Quadrant III, $x < 0$ and $y<0$; in Quadrant IV, $x>0$ and $y<0$. If $x = 0$, the point lies on the $y$ - axis, and if $y = 0$, the point lies on the $x$ - axis.

Step2: Analyze point $(-4,2)$

Since $x=-4<0$ and $y = 2>0$, the point $(-4,2)$ lies in Quadrant II.

Step3: Analyze point $(-4,-3)$

Since $x=-4<0$ and $y=-3<0$, the point $(-4,-3)$ lies in Quadrant III.

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

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

Step5: Analyze point $(0,8)$

Since $x = 0$ and $y=8>0$, the point $(0,8)$ lies on the positive $y$ - axis.

Answer:

$(-4,2)$: Quadrant II
$(-4,-3)$: Quadrant III
$(6,-6)$: Quadrant IV
$(0,8)$: Positive $y$ - axis