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**Guided Notes Name____________________________ Section 4.1 Day 1 – Plot Points in a Coordinate Plane Date________________ **

_____________________________________________________________________________________ Quadrants = The four regions into which the coordinate plane is divided by the x-axis and the y-axis, i.e. Quadrant I, II, III, and IV. They are labeled as follows:

**II III I IV **

**The point in the middle is called the ____________________, and is at (0, 0). The x-axis has positive values to the right and negative values to the left. The y-axis has positive values up and negative values down. **Example #1:** the point is in. Remember that the coordinates for a point is written as (x, y). **1.)** For the following, give the coordinates for the points and which Quadrant A ( , ) **2.)** B ( , ) **3.)** C ( , ) **4.)** B D ( , ) E F D A C **5.)** E ( , ) **6.)** F ( , )

What happens if a point lies on either the x-axis or the y-axis, such as the point (4,0) or (0,4)? Then these points are said to lie on the x-axis or y-axis and are not given a designated Quadrant. What about the point (0,0) which is right in the middle of all four quadrants? ___________ **Example #2**: Plot the point in a coordinate plane. Describe the location of the point, i.e. Begin at the origin. First move to the left 2 units and then down three. 1.) A (-4, 4) 4.)

**Guided Practice **

Plot the following points in a coordinate plane. Describe which quadrant they are in. 1.) A (2, 5) Q:______ 2.) B (-1, 0) Q:_______ 3.) C (-2, -1) Q:_______ D ( -5, 3) Q: _______ 2.) B (3, -2) 3.) C (-2, 5) 4.) D (0, 3) 5.) E (-6, 0)