Coordinate plane plotting a walk notes

What is a coordinate plane?

A coordinate plane is a two-dimensional surface formed by two intersecting number lines called axes.

What do the X and Y axes represent?

The X-axis is horizontal and shows left-right positions. The Y-axis is vertical and shows up-down positions.

How to plot a point?

To plot a point, find its X and Y values. Move right for X and up for Y, then mark the spot.

Fill in the blank: The point (3, 2) is found ____.

3 units right and 2 units up from the origin.

Difference between (2, 3) and (3, 2)?

(2, 3) is 2 right and 3 up; (3, 2) is 3 right and 2 up.

True or false: The origin is (0, 0).

True, because it is where both axes meet.

What does moving left on the X-axis mean?

Moving left decreases the X value of a point.

What does the term 'quadrant' mean?

A quadrant is one of the four sections of the coordinate plane created by the axes.

How to represent a walk using coordinates?

Start at (0, 0). Move to each new location and write the coordinates.

Fill in the blank: If I walk 4 units up from (1, 1), I reach ____.

(1, 5).

True or false: The point (-2, -3) is in the first quadrant.

False, because it's in the third quadrant.

What happens if you walk left and down?

You decrease both your X and Y values.

Example of plotting a walk: Start at (2, 2).

Move right to (5, 2), then up to (5, 4).

What is a vertex?

A vertex is a corner point on a shape or graph in the coordinate plane.

True or false: All points in the second quadrant have a negative X.

True, because X is always negative there.

How is a straight line represented?

A straight line can connect points plotted on the coordinate plane.

Difference between 'positive' and 'negative' coordinates?

Positive coordinates are right and up; negative are left and down.

Fill in the blank: The point (0, 4) is on the ____ axis.

Y-axis.