Understanding Linear Equations and Slopes

The video tutorial covers homework problems 459 and 460, focusing on graphing linear equations using the slope-intercept form y = MX + B. It explains how to graph equations with positive, negative, and fractional growth rates, as well as zero initial values. The tutorial also examines graph patterns, their growth rates, and how to write rules for these patterns, particularly focusing on pattern B's decreasing trend.

What does the 'M' represent in the equation y = mx + b?

• The y-intercept

• The constant term

• The slope

• The x-intercept

What does the y-intercept represent in a linear equation?

• The slope

• The constant term

• The initial value

• The x-intercept

In the equation y = 2x - 3, what is the y-intercept?

• -3

• 2

• 3

• 0

How can the slope of 2 in y = 2x - 3 be expressed as a fraction?

• 2/1

• 1/2

• -2/1

• 1/-2

What is the direction of the line for y = -2x + 5?

• Vertical

• Sloping upwards

• Horizontal

• Sloping downwards

In y = -2x + 5, what does the negative sign in front of 2 indicate?

• Positive growth

• Negative growth

• No growth

• Constant growth

How can a negative slope affect the direction of a line?

• It makes the line horizontal

• It makes the line slope downwards

• It makes the line slope upwards

• It makes the line vertical

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

• 0

• Undefined

• 1

• 3

How is the slope of 3 in y = 3x represented?

• 1/-3

• 1/3

• 3/1

• -3/1

What happens to the graph of y = 3x when the slope is positive?

• It becomes vertical

• It slopes upwards

• It remains flat

• It slopes downwards