Question
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Answer
- Point 4:
is in the first quadrant. - Point 5:
is in the first quadrant. - Point 6:
is on the y-axis in the first quadrant.
Solution
To locate and name each point, we will identify their coordinates and describe their positions in the Cartesian coordinate system.
-
Point 4:
- This point is located at
and . - It is in the first quadrant of the Cartesian plane, where both
and are positive.
- This point is located at
-
Point 5:
- This point is located at
and . - It is also in the first quadrant, as both coordinates are positive.
- This point is located at
-
Point 6:
- This point is located at
and . - It lies on the y-axis, where
and is positive, placing it in the first quadrant as well.
- This point is located at
In summary:
- Point 4:
- First Quadrant - Point 5:
- First Quadrant - Point 6:
- On the y-axis in the First Quadrant
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Mind Expander
Let’s dive into the fun world of coordinates!
First up, we have the point
, which is located one unit to the right of the origin (0,0) on the x-axis and three units up on the y-axis. It’s like a little party of coordinates celebrating on the graph!
Next, we have
. This point struts confidently five units to the right and then climbs six units up. It’s like it’s saying, “Look at me, I’m way up here!”
Then there’s
. This special point hangs out straight up six units on the y-axis, perfectly aligned with the origin. It’s the top of the y-axis hill, waving down at any road from the x-axis!
Finding points on a graph is like treasure hunting—each coordinate unlocks a different gem!