Question

name the quadrant or axis where each point lies. (6, -3): (choose one) (-4, 1): (choose one) (0, 7): (choose one) (4, 4): (choose one)

Explanation:

Step1: Recall quadrant rules

In a coordinate - plane, for a point $(x,y)$: If $x>0$ and $y > 0$, it's in Quadrant I; if $x<0$ and $y>0$, it's in Quadrant II; if $x<0$ and $y < 0$, it's in Quadrant III; if $x>0$ and $y<0$, it's in Quadrant IV; if $x = 0$ and $y
eq0$, it's on the $y$ - axis; if $y = 0$ and $x
eq0$, it's on the $x$ - axis.

Step2: Analyze point $(6,-3)$

Here $x = 6>0$ and $y=-3 < 0$, so it's in Quadrant IV.

Step3: Analyze point $(-4,1)$

Here $x=-4 < 0$ and $y = 1>0$, so it's in Quadrant II.

Step4: Analyze point $(0,7)$

Here $x = 0$ and $y=7>0$, so it's on the $y$ - axis.

Step5: Analyze point $(4,4)$

Here $x = 4>0$ and $y = 4>0$, so it's in Quadrant I.

Answer:

$(6,-3)$: Quadrant IV
$(-4,1)$: Quadrant II
$(0,7)$: $y$-axis
$(4,4)$: Quadrant I