Understanding Slope and Proportional Relationships

The video tutorial explains how to write equations for proportional relationships, focusing on the concepts of slope and constant of proportionality. It provides examples of positive, negative, and unit slopes, demonstrating how to derive equations from graphs. The key takeaway is understanding how to calculate and apply the slope to form equations representing proportional relationships.

What is the general form of an equation for a proportional relationship?

• y = kx or y = mx

• y = a/x

• y = x + b

• y = ax^2 + bx + c

Which of the following is true for a proportional relationship graph?

• It passes through the origin.

• It is a horizontal line.

• It is a curved line.

• It has a y-intercept other than zero.

What is the general form of an equation for a proportional relationship?

• y = x + b

• y = kx or y = mx

• y = a/x

• y = ax^2 + bx + c

Which of the following is true for a proportional relationship graph?

• It has a y-intercept other than zero.

• It is a horizontal line.

• It passes through the origin.

• It is a curved line.

In the equation y = kx, what does 'k' represent?

• The x-intercept

• The constant of proportionality

• The slope of the line

• The y-intercept

What does the 'm' in y = mx represent?

• The y-intercept

• The constant of proportionality

• The slope

• The x-intercept

In the equation y = kx, what does 'k' represent?

• The constant of proportionality

• The x-intercept

• The y-intercept

• The slope of the line

What does the 'm' in y = mx represent?

• The x-intercept

• The slope

• The y-intercept

• The constant of proportionality

What is the slope of a line that rises 2 units for every 3 units it runs?

• 2/3

• 3/2

• 1/2

• 3/1

If a line has a slope of 2/3, what does it mean in terms of rise and run?

• Rise 2, run 1

• Rise 1, run 2

• Rise 2, run 3

• Rise 3, run 2