Question

For each point, identify the axis or quadrant where the point is located.

Drag and drop the choices into the boxes to complete the table.

Answer 1

In the point (x, y), if x=0, then the point is on the y axis.
If y=0, the point is on the x axis
If both x and y are positive (greater than 0), the point is in quadrant 1
If x is negative (less than 0) and y is positive (greater than 0), the point is in quadrant 2
If both x and y are negative, the point is in quadrant 3
If x is positive and y is negative, the point is in quadrant 4

Taking (-3, 2), since 3 has a - sign before it (and nothing else), it is negative. Since the x value comes first, this means that x is negative. Since it simply states "2" for the y value, it is positive. As x is negative and y is positive, we know that the point is in quadrant 2.

I challenge you to do this on your own - good luck, and feel free to ask with further questions!

Answer 2

Part 1)
`(0,16)` is located on the Y-axis

Part 2)
`(2,-12)` is located on the IV quadrant

Part 3)
`(-1,2)` is located on the II quadrant

Part 4)
`(3,0)` is located on the X-axis

Part 5)
`(36.7,3.9)` is located on the I quadrant

Part 6)
`(-(5)/(8), -5(1)/(3))` is located on the III quadrant

Explanation:

we know that

I Quadrant

The x-coordinate and the y-coordinate are both positive

II Quadrant

The x-coordinate is negative and the y-coordinate is positive

III Quadrant

The x-coordinate and the y-coordinate are both negative

IV Quadrant

The x-coordinate is positive and the y-coordinate is negative

X-axis

The y-coordinate is equal to zero

Y-axis

The x-coordinate is equal to zero

Part 1) point
`(0,16)`

The point is located on the Y-axis

Part 2) point
`(2,-12)`

The point is located on the IV quadrant

Part 3) point
`(-1,2)`

The point is located on the II quadrant

Part 4) point
`(3,0)`

The point is located on the X-axis

Part 5) point
`(36.7,3.9)`

The point is located on the I quadrant

Part 6) point
`(-(5)/(8), -5(1)/(3))`

The point is located on the III quadrant