Graphing Linear Equations: Plotting Ordered Pairs

The video tutorial explains how to graph linear equations in two variables by finding ordered pair solutions. It demonstrates setting up a table to organize x and y values, solving the equation for y, and plotting points on a coordinate plane. The tutorial emphasizes the importance of finding at least three points to ensure accuracy and shows how to draw a straight line through these points. It also provides an example problem for practice and discusses more advanced graphing techniques.

What is the primary purpose of finding ordered pair solutions in graphing linear equations?

• To plot the graph accurately

• To identify all possible x-values

• To ensure the graph is a straight line

• To create a table of values

What happens when you substitute x = 0 into the equation y = 2x + 3?

• y = 2

• y = 5

• y = 3

• y = 0

What is the y-value when x = 1 for the equation y = 2x + 3?

• y = 5

• y = 0

• y = 2

• y = 3

Why is it recommended to find at least three points when graphing a line?

• To ensure the line is straight and correct

• To use up more graph paper

• To practice calculations

• To make the graph look fuller

What does plotting three points help to verify in a graph of a linear equation?

• The color of the line

• The thickness of the line

• The accuracy of the points

• The slope of the line

What is the result of substituting x = -2 into the equation y = 2x + 3?

• y = 7

• y = -1

• y = -3

• y = 1

For the equation y = -2x + 5, what is the y-value when x = 3?

• y = 1

• y = -1

• y = 9

• y = 5

How does choosing different x-values help in verifying the correctness of a graph?

• It makes the graph more complex

• It provides a variety of y-values

• It ensures the line is straight

• It shows different colors on the graph

What is the significance of plotting the point (0,5) for the equation y = -2x + 5?

• It determines the thickness of the line

• It verifies the x-intercept

• It is necessary for finding the slope

• It confirms the y-intercept

What does the point (1, 3) indicate when graphing the equation y = -2x + 5?

• It verifies the slope is correct

• It is an error in calculation

• It is the y-intercept of the graph

• It is the x-intercept of the graph