Graphing Linear Equations and Functions

The video tutorial explains how to graph linear equations using a table of ordered pairs. It demonstrates the process with two examples: y = -1.5x and y = 2x - 5. For each equation, the tutorial shows how to select x values, calculate corresponding y values, and plot the resulting ordered pairs on a coordinate plane to form a line. The importance of plotting multiple points to ensure accuracy is emphasized.

What is one method to graph a linear equation?

• Using a protractor

• Using a compass

• Drawing freehand

• Using a table of ordered pairs

Why is it beneficial to plot more than two points when graphing a line?

• To make the process longer

• To use up more graph paper

• To ensure accuracy and avoid errors

• To make the graph look more colorful

What x values are chosen to avoid decimal y values for the equation y = -1.5x?

• Prime numbers

• Negative values

• Even values

• Odd values

What is the ordered pair when x = 0 for the equation y = -1.5x?

• (0, -1.5)

• (0, 0)

• (0, -3)

• (0, 1.5)

How do you plot the point (2, -3) on a coordinate plane?

• Left 2, up 3

• Right 2, down 3

• Left 2, down 3

• Right 2, up 3

What is the slope of the line represented by the equation y = -1.5x?

• 1.5

• 0

• 2

• -1.5

What is the first step in graphing the equation y = 2x - 5?

• Calculating the slope

• Drawing the axes

• Plotting the points

• Selecting x values

What is the ordered pair when x = 1 for the equation y = 2x - 5?

• (1, -3)

• (1, -5)

• (1, 5)

• (1, 3)

What is the y-intercept of the equation y = 2x - 5?

• 5

• 2

• 0

• -5

What is the ordered pair when x = 4 for the equation y = 2x - 5?

• (4, -3)

• (4, 3)

• (4, -5)

• (4, 5)