Exploring the Rectangular Coordinate System and Graph Interpretation

Professor Mitchell introduces Chapter 3 on graphing, focusing on the rectangular coordinate system. The lecture covers plotting ordered pairs, identifying their quadrants or axes, and determining if they are solutions to linear equations. The session concludes with completing a table of ordered pairs for a linear equation.

What is the main focus of Chapter 3?

• Graphing linear functions

• Understanding calculus

• Reading bar and line graphs

• Solving quadratic equations

Which of the following is NOT included in Section 3.1?

• Finding the missing coordinate of an ordered pair

• Plotting ordered pairs

• Defining the rectangular coordinate system

• Reading bar and line graphs

What does the first number in an ordered pair represent?

• Distance from the origin

• Horizontal location

• Vertical location

• Quadrant number

Where is the origin located on a graph?

• Center of the graph

• Top right corner

• Top left corner

• Bottom left corner

In which quadrant is the point (2, 4) located?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

If a point lies on one of the axes, which statement is true?

• It belongs to Quadrant IV

• It does not belong to any quadrant

• It belongs to Quadrant II

• It belongs to Quadrant I

What must be true for an ordered pair to be a solution of a linear equation?

• It must lie on the x-axis

• It must make the equation true

• The y-coordinate must be zero

• The x-coordinate must be zero

Is the ordered pair (2, 3) a solution to the equation 3x + y = 8?

• Yes

• No

• Only if y is negative

• Only if x is positive

What is the y-coordinate when x = 0 in the equation x - 6y = 3?

• -1/2

• 1/2

• -1/3

• 1/3

What is the x-coordinate when y = -1 in the equation x - 6(-1) = 3?

• -6

• 6

• 3

• -3