- Ordered Pairs
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- Reading a point in quadrant 1
- Plotting a point in quadrant 1
- Reading a point in the coordinate plane
- Plotting a point in the coordinate plane
- Plotting a point in quadrant 1: Mixed number coordinates
- Plotting a point in the coordinate plane: Mixed number coordinates
- Naming the quadrant or axis of a point given its graph
- Naming the quadrant or axis of a point given its coordinates
- Naming the quadrant or axis of a point the signs of its coordinates
- Finding distances between points that share a common coordinate given the graph
- Finding distances between points that share a common coordinate given their coordinates

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# Reading a point in quadrant 1

A two dimensional coordinate plane is divided by horizontal line and vertical line into four quadrants. The horizontal line is the x-axis and the vertical line is the y axis. The x axis and the y axis intersect at a point called origin.

Every point in the plane is represented by a x coordinate and a y coordinate. Together these coordinates are written in parentheses separated by a comma and are called an ordered pair. The origin has the coordinates (0, 0)

We read the position of a point in a plane or a quadrant in terms of an ordered pair, i.e., x and y coordinate.

### Rules for reading a point in quadrant 1

In the quadrant 1, both the x coordinate and the y coordinate are positive.

The signs of the ordered pairs in quadrant 1 are (+, +)

We read the number of units the point is to the right of origin along the x axis to find its x coordinate.

We then read the number of units the point is above the origin along the y axis to find its y coordinate.

The x and y coordinates of the given point give its location in terms of an ordered pair. This is how a point in quadrant 1 is read.

Use the grid given below to read the coordinates of the points represented by the shapes the circle, the square, the heart and the triangle.

### Solution

**Step 1** − The x and y coordinates of the point represented by the circle in the given grid are 10 and 5 respectively. So as an ordered pair, they are (10, 5).

**Step 2** − The x and y coordinates of the point represented by the square in the given grid are 3 and 0 respectively. So as an ordered pair, they are (3, 0).

**Step 3** − The x and y coordinates of the point represented by the heart in the given grid are 4 and 2 respectively. So as an ordered pair, they are (4, 2).

**Step 4** − The x and y coordinates of the point represented by the triangle in the given grid are 10 and 8 respectively. So as an ordered pair, they are (10, 8).

Use the grid given below to read the coordinates of the points represented by the letters, H, A, F and B.

### Solution

**Step 1** − he x and y coordinates of the point represented by the letter H in the given grid are 7 and 6 respectively. So as an ordered pair, they are (7, 6).

**Step 2** − The x and y coordinates of the point represented by the letter A in the given grid are 4 and 10 respectively. So as an ordered pair, they are (4, 10).

**Step 3** − The x and y coordinates of the point represented by the letter F in the given grid are 3 and 9 respectively. So as an ordered pair, they are (3, 9).

**Step 4** − The x and y coordinates of the point represented by the letter B in the given grid are 0 and 8 respectively. So as an ordered pair, they are (0, 8).