Understanding Linear Equations

The video tutorial explains how to find five solutions to the equation y = -0.5x - 2. It demonstrates the process of substituting different x values into the equation to find corresponding y values, resulting in ordered pairs. These pairs are then plotted on a coordinate plane to visualize the solutions, showing that they form a straight line. The tutorial emphasizes the importance of listing solutions as ordered pairs for graphing purposes.

What is the equation we are trying to find solutions for?

• y = -0.5x + 2

• y = 0.5x - 2

• y = -0.5x - 2

• y = 0.5x + 2

If x = -2, what is the corresponding y value?

• 1

• 0

• -1

• -3

What is the y value when x = -1?

• -1.5

• -2

• 0.5

• -0.5

For x = 0, what is the value of y?

• -1

• 0

• -2

• -3

What is the y value when x = 1?

• -2.5

• -1.5

• -3

• -2

If x = 2, what is the corresponding y value?

• -3

• -2

• -1

• -4

How are the solutions listed after calculation?

• As decimals

• As fractions

• As equations

• As ordered pairs

What is the ordered pair for x = 0?

• (0, -3)

• (0, -2)

• (0, -1)

• (0, 0)

What does each ordered pair represent on the graph?

• A line

• A curve

• A point

• A circle

What does the line passing through all points represent?

• A random line

• The graph of the equation

• The y-axis

• The x-axis