SOLUTION: Which ones are in Quadrant I, Quadrent II, Quadrant III, or Quadrant IV? 1. (3,4) 2. (5,-2) 3. (2,-5) 4. (-1,-3) Help Please

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: Which ones are in Quadrant I, Quadrent II, Quadrant III, or Quadrant IV? 1. (3,4) 2. (5,-2) 3. (2,-5) 4. (-1,-3) Help Please      Log On

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Question 116584: Which ones are in Quadrant I, Quadrent II, Quadrant III, or Quadrant IV?
1. (3,4)
2. (5,-2)
3. (2,-5)
4. (-1,-3)
Help Please
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to show you how to solve these problems

Remember, the four quadrants are in these regions of the coordinate system:

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#1

First plot the point (3,4)

Start at the origin (where the the x and y axis intersect)

Now move your pencil 3 units to the right
We move 3 units in this direction since the x-coordinate is 3 (its the first number of the pair)



drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28arc%280.5%2C0%2C1%2C2%2C0%2C180%29%29%2C%0D%0Ablue%28arc%281.5%2C0%2C1%2C2%2C0%2C180%29%29%2C%0D%0Ablue%28arc%282.5%2C0%2C1%2C2%2C0%2C180%29%29%0D%0A%29

Now go 4 units up
We move 4 units in this direction since the y-coordinate is 4 (its the second number of the pair)


drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28arc%280.5%2C0%2C1%2C2%2C0%2C180%29%29%2C%0D%0Ablue%28arc%281.5%2C0%2C1%2C2%2C0%2C180%29%29%2C%0D%0Ablue%28arc%282.5%2C0%2C1%2C2%2C0%2C180%29%29%2C%0D%0Agreen%28arc%283%2C0.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Agreen%28arc%283%2C1.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Agreen%28arc%283%2C2.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Agreen%28arc%283%2C3.5%2C1%2C1%2C270%2C90%29%29%0D%0A%29

Plot a point where the pencil lands

drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agrid%281%29%2C%0D%0Acircle%283%2C4%2C0.08%29%2C%0D%0Acircle%283%2C4%2C0.10%29%2C%0D%0Ablue%28arc%280.5%2C0%2C1%2C2%2C0%2C180%29%29%2C%0D%0Ablue%28arc%281.5%2C0%2C1%2C2%2C0%2C180%29%29%2C%0D%0Ablue%28arc%282.5%2C0%2C1%2C2%2C0%2C180%29%29%2C%0D%0Agreen%28arc%283%2C0.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Agreen%28arc%283%2C1.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Agreen%28arc%283%2C2.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Agreen%28arc%283%2C3.5%2C1%2C1%2C270%2C90%29%29%0D%0A%29

So here is the point (3,4)

drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agrid%281%29%2C%0D%0Acircle%283%2C4%2C0.08%29%2C%0D%0Acircle%283%2C4%2C0.10%29%0D%0A%29

Now looking at the drawing of the quadrants, you can see that the point (3,4) is in the first quadrant



#2
Now let's plot the point (5,-2)

Start at the origin (where the the x and y axis intersect)

Now move your pencil 5 units to the right
We move 5 units in this direction since the x-coordinate is 5 (its the first number of the pair)



drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28arc%280.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Ablue%28arc%281.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Ablue%28arc%282.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Ablue%28arc%283.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Ablue%28arc%284.5%2C0%2C1%2C2%2C180%2C0%29%29%0D%0A%29

Now go 2 units down
We move 2 units in this direction since the y-coordinate is -2 (its the second number of the pair)


drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28arc%280.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Ablue%28arc%281.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Ablue%28arc%282.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Ablue%28arc%283.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Ablue%28arc%284.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Agreen%28arc%285%2C-0.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Agreen%28arc%285%2C-1.5%2C1%2C1%2C270%2C90%29%29%0D%0A%29

Plot a point where the pencil lands

drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agrid%281%29%2C%0D%0Acircle%285%2C-2%2C0.08%29%2C%0D%0Acircle%285%2C-2%2C0.10%29%2C%0D%0Ablue%28arc%280.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Ablue%28arc%281.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Ablue%28arc%282.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Ablue%28arc%283.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Ablue%28arc%284.5%2C0%2C1%2C2%2C180%2C0%29%29%2C%0D%0Agreen%28arc%285%2C-0.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Agreen%28arc%285%2C-1.5%2C1%2C1%2C270%2C90%29%29%0D%0A%29

So here is the point (5,-2)

drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agrid%281%29%2C%0D%0Acircle%285%2C-2%2C0.08%29%2C%0D%0Acircle%285%2C-2%2C0.10%29%0D%0A%29


Now looking at the drawing of the quadrants, you can see that the point (5,-2) is in the fourth quadrant