Question

question 6
name the quadrant in which the following point would be located. if the point is on an axis, name the axis.
(4,0)
quadrant:
x - axis
y - axis
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question 7
name the quadrant in which the following point would be located. if the point is on an axis, name the axis.
(-3,1)

Explanation:

Step1: Recall coordinate - axis rules

In a two - dimensional coordinate system, for a point $(x,y)$, if $y = 0$, the point lies on the $x$ - axis. For the point $(4,0)$, since $y=0$ and $x = 4>0$, it lies on the positive $x$ - axis.

Step2: Recall quadrant rules for the second point

In a two - dimensional coordinate system, in the second quadrant, $x<0$ and $y>0$. For the point $(-3,1)$, $x=-3<0$ and $y = 1>0$, so it lies in the second quadrant.

Answer:

For the point $(4,0)$: $x$-axis
For the point $(-3,1)$: Second quadrant