Understanding Linear Equations

The video tutorial explains linear equations, focusing on the slope-intercept form y = mx + b. It covers the concepts of slope (m) as the constant rate of change and intercept (b) as the initial value. The behavior of lines is discussed based on the slope: positive slopes indicate increasing behavior, negative slopes indicate decreasing behavior, zero slopes result in horizontal lines, and undefined slopes lead to vertical lines. The tutorial analyzes four specific equations, identifying their constant rates of change, initial values, and behaviors.

What is the slope-intercept form of a linear equation?

• y = m + bx

• y = x + mb

• y = b - mx

• y = mx + b

In the slope-intercept form, what does the 'm' represent?

• The constant term

• The slope

• The x-intercept

• The y-intercept

What is the behavior of a line when the slope is positive?

• Decreasing

• Horizontal

• Vertical

• Increasing

If the slope of a line is zero, what is the behavior of the line?

• Increasing

• Decreasing

• Horizontal

• Vertical

For the equation y = 6x - 5, what is the initial value?

• 0

• -5

• 6

• 5

In the equation y = 8 - 2t, what is the constant rate of change?

• 0

• 2

• -2

• 8

What is the initial value for the equation y = 2a?

• Undefined

• a

• 0

• 2

In the equation y = 8 - 2t, what is the initial value?

• 8

• t

• -2

• 0

For the equation y = -4, what is the slope?

• 4

• Undefined

• -4

• 0

What is the behavior of the line for the equation y = -4?

• Increasing

• Decreasing

• Horizontal

• Vertical