Understanding Linear Equations and Proportionality

Mr. Small and Mrs. Simone from Hannah Middle School discuss linear equations, focusing on the difference between proportional and non-proportional relationships. They explain how to find the slope from tables, graph points, and create equations. The video emphasizes the importance of a constant ratio and the significance of the origin in determining proportionality.

What is the primary focus of the video tutorial?

• Trigonometric functions

• Exponential growth

• Linear equations and proportionality

• Quadratic equations

Which variable is used to represent the slope in linear equations?

• M

• Y

• X

• B

How can you determine if a relationship is proportional using a table?

• By ensuring the ratio of Y to X is constant

• By checking if the difference between X and Y is constant

• By checking if the sum of X and Y is constant

• By verifying if the product of X and Y is constant

What does the point (0,0) indicate in a graph of a proportional relationship?

• The graph does not intersect the axes

• The graph is a parabola

• The graph passes through the origin

• The graph is a hyperbola

Why is the point (0,0) significant in determining proportionality?

• It indicates a non-linear relationship

• It shows the graph passes through the origin, confirming proportionality

• It means the graph is undefined

• It suggests the graph is quadratic

What characteristic of a graph indicates a proportional relationship?

• The graph is a curve

• The graph passes through the origin and is linear

• The graph is a circle

• The graph is a horizontal line

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

• The origin

• The x-intercept

• The y-intercept

• The slope of the line

How can you tell if a relationship is not proportional from its equation?

• The equation has a constant slope

• The equation is undefined

• The equation includes a y-intercept other than zero

• The equation is quadratic

What is a key difference between proportional and non-proportional relationships?

• Proportional relationships are always quadratic

• Non-proportional relationships have a constant ratio and pass through the origin

• Proportional relationships have a constant ratio and pass through the origin

• Non-proportional relationships are always quadratic

Which of the following is true for a proportional relationship?

• The graph is a vertical line

• The graph is a straight line through the origin

• The graph does not pass through the origin

• The graph is a curve