Question

match each coordinate with the correct location in the coordinate system. (-3,4) (0,5) (7,8) (8,-9) (-2,0) (-6,-3)

Explanation:

Step1: Recall coordinate - plane rules

In a two - dimensional coordinate system $(x,y)$, $x$ is the horizontal coordinate and $y$ is the vertical coordinate.

Step2: Analyze $(-3,4)$

The $x$ - coordinate is $- 3$ (left of the origin) and the $y$ - coordinate is $4$ (above the origin), so it is in the second quadrant.

Step3: Analyze $(0,5)$

The $x$ - coordinate is $0$, so it lies on the $y$ - axis, and since $y = 5$, it is $5$ units above the origin.

Step4: Analyze $(7,8)$

Both $x=7$ and $y = 8$ are positive, so it is in the first quadrant.

Step5: Analyze $(8,-9)$

The $x$ - coordinate is $8$ (right of the origin) and the $y$ - coordinate is $-9$ (below the origin), so it is in the fourth quadrant.

Step6: Analyze $(-2,0)$

The $y$ - coordinate is $0$, so it lies on the $x$ - axis, and since $x=-2$, it is $2$ units to the left of the origin.

Step7: Analyze $(-6,-3)$

Both $x = - 6$ and $y=-3$ are negative, so it is in the third quadrant.

Answer:

$(-3,4)$: Second quadrant
$(0,5)$: On the positive $y$ - axis
$(7,8)$: First quadrant
$(8,-9)$: Fourth quadrant
$(-2,0)$: On the negative $x$ - axis
$(-6,-3)$: Third quadrant