IDENTIFY POINTS ON A COORDINATE PLANE

Coordinate Plane

Identifying Points on a Coordinate Plane

Example 1 :

Write the ordered pair for point G.

Solution :

Follow along a vertical line through the point to find the x-coordinate on the x-axis. The x-coordinate is -4.

Follow along a horizontal line through the point to find the y-coordinate on the y-axis. The y-coordinate is 3.

So, the ordered pair for point G is (-4, 3). This can also be written as G(-4, 3).

Plotting a Point in a Coordinate Plane 

The x-axis and y-axis separate the coordinate plane into four regions, called . Notice which quadrants contain positive and negative x-coordinates and which quadrants contain positive and negative y-coordinates. The axes are not located in any of the quadrants.

When graphing an ordered pair, start at the origin. The x-coordinate indicates how many units to move right (positive) or left (negative). The y-coordinate indicates how many units to move up (positive) or down (negative).

Example 2 : 

Plot the given point on a coordinate plane.

A(3, 5)

Solution :

Both x and y-coordinate values are positive. So the given point will be located on the 1st quadrant.

Step 1 :

From origin, we have to move three units to the right side.

Step 2 :

Now move 4 units upward. .

Step 3 :

Draw a dot and label this point as (3, 5)

Example 3 : 

Tell whether the statement is sometimes, always, or never true. Explain your reasoning.

a) The x-coordinate of a point on the x-axis is zero.

b) The y-coordinate of points in Quadrant III are positive.

c) The x-coordinate of a point in Quadrant II has the same sign as the y-coordinate of a point in Quadrant IV.

Solution :

a) The points on the x-axis will be in the form of (x, 0). Which shows the value of y must be 0. The given statement says its opposite. Then it is never true.

b) 

In Exercises 34–38, use the map of the Brevard Zoo in Melbourne, Florida. 34. Which exhibit is located at (2, 1)? 35. Name an attraction on the positive y-axis.

36. Is parking available in Quadrant II? If not, name a quadrant in which you can park. 37. Write two different ordered pairs that represent the location of La Selva Rainforest.

Which exhibit is closest to (−8, −3)?

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