Exploring Nonproportional Linear Relationships

This video lesson by eMathInstruction covers non-proportional linear relationships in Algebra 1. It begins with an introduction to proportional relationships, explaining their characteristics and how they differ from non-proportional ones. The lesson then focuses on graphing linear functions using the slope-intercept form, providing examples and exercises to illustrate these concepts. The video concludes with a summary and review of the key points discussed.

What is a key characteristic of a proportional relationship when graphed?

• It passes through the origin.

• It has a negative slope.

• It forms a parabola.

• It intersects the y-axis at a non-zero point.

In a proportional relationship, what remains constant when dividing the two variables?

• The sum of the variables

• The ratio of the variables

• The difference of the variables

• The product of the variables

How do you determine the average rate of change between two points on a linear function?

• By adding the x-coordinates

• By multiplying the x-coordinates

• By subtracting the y-coordinates

• By dividing the change in y by the change in x

What is the slope of the line if the average rate of change from x = -2 to x = 1 is 2?

• 1

• 2

• 4

• 3

What is the general form of a linear equation?

• y = mx + b

• y = ax^2 + bx + c

• y = k/x

• y = x^2 + c

In the equation y = mx + b, what does 'm' represent?

• The constant term

• The y-intercept

• The x-intercept

• The slope

When graphing the function G(x) = 1/2x + 1, what is the y-coordinate when x = 0?

• 2

• 1

• 0

• 3

How do you interpret a slope of 1/2 graphically?

• Right 2, up 1

• Right 1, up 2

• Right 1, down 2

• Right 2, down 1

What is the y-intercept of the function y = -3/5x + 4?

• 3

• 4

• 5

• -3/5

If the slope of a line is negative, in which direction does the line move?

• Horizontally

• Upwards to the left

• Downwards to the right

• Upwards to the right