Linear Equations and Their Properties

This video tutorial explains how to draw straight line graphs using linear equations. It covers filling out a table of values, substituting x values to find y values, identifying patterns, and plotting coordinates on a graph. The tutorial includes examples with different equations and a practice exercise for students to apply what they've learned.

What is the general form of a linear equation?

• y = a/x + b

• y = mx + c

• y = ax^3 + bx^2 + cx + d

• y = ax^2 + bx + c

For the equation y = 2x - 1, what is the y-value when x = 3?

• 5

• 6

• 7

• 4

What pattern is observed in the y-values for the equation y = 2x - 1?

• Increasing by 3

• Decreasing by 1

• Increasing by 2

• Decreasing by 2

What is the y-intercept of the equation y = 2x - 1?

• 2

• 1

• 0

• -1

For the equation y = 0.5x - 4, what is the y-value when x = 6?

• -1

• 0

• 1

• -2

What is the pattern in the y-values for the equation y = 0.5x - 4?

• Increasing by 0.5

• Decreasing by 1

• Decreasing by 0.5

• Increasing by 1

What is the slope of the equation y = 0.5x - 4?

• -4

• 1

• 0.5

• 2

For the equation y = 3x + 1, what is the y-value when x = 2?

• 8

• 5

• 6

• 7

What pattern is observed in the y-values for the equation y = 3x + 1?

• Decreasing by 3

• Increasing by 2

• Increasing by 3

• Decreasing by 1

What is the y-intercept of the equation y = 3x + 1?

• 1

• 0

• 3

• 2