Graphing and Coordinate Plane Concepts

The video tutorial covers the basics of coordinate graphing, starting with the tools needed, such as graph paper and a ruler. It provides a historical context of graphing, introducing the Cartesian plane and the concept of ordered pairs. The tutorial explains the x-axis and y-axis, the importance of scale, and how to determine the location of points. It discusses quadrants, intercepts, and the origin, emphasizing the need for a proper scale and labeling for high-quality graphs. Finally, it demonstrates graphing an equation, y = x - 2, by plotting points and connecting them to form a line.

Who was the French mathematician and philosopher that contributed to the development of coordinate graphing?

• Albert Einstein

• Isaac Newton

• Pythagoras

• René Descartes

What do we call the horizontal axis in a coordinate plane?

• W-axis

• Y-axis

• Z-axis

• X-axis

Why is it important to match the scale of your axes to your data?

• To make the graph easier to draw

• To use less graph paper

• To ensure all interesting points are visible

• To make the graph look pretty

If the x-axis counts by 2s and the y-axis counts by 5s, what is the ordered pair for a point located at 6 on the x-axis and 15 on the y-axis?

• (3, 3)

• (6, 15)

• (12, 30)

• (15, 6)

What is the ordered pair for the origin in a coordinate plane?

• (1, 0)

• (0, 0)

• (0, 1)

• (1, 1)

In which quadrant would a point with coordinates (-3, 4) be located?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

What are points on the x-axis or y-axis called?

• Endpoints

• Midpoints

• Intercepts

• Vertices

What should you always include on your graph to ensure it is meaningful?

• A title

• A border

• A legend

• A scale

When graphing an equation, what should you do with the points you plot?

• Connect them with a line or curve

• Label them with letters

• Leave them as dots

• Erase them

What is the equation of the line graphed in the example provided in the video?

• y = x - 2

• y = x + 2

• y = -x + 2

• y = 2x - 1