Understanding Constant of Proportionality

The video tutorial explains the concept of the constant of proportionality, a fundamental idea in mathematics where y is proportional to x. It demonstrates how to find this constant using a given point on a graph and compares different lines to identify the correct constant. The tutorial also covers a special case where y equals x, showing that the constant of proportionality is 1 in this scenario.

What does the constant of proportionality represent in the equation y = kx?

• The slope of the line

• The area under the line

• The y-intercept of the line

• The x-coordinate of a point

If a point on a graph is (3, 2), what is the constant of proportionality?

• 1/2

• 2/3

• 3/2

• 3

How can you determine the constant of proportionality from a graph?

• By finding the y-intercept

• By dividing y by x for a point on the line

• By multiplying x and y

• By adding x and y

Which line has a constant of proportionality of 5/4?

• Line C with point (1, 4)

• Line B with point (4, 5)

• Line A with point (2, 5)

• Line D with point (3, 6)

What is the constant of proportionality for a line passing through (4, 5)?

• 1

• 5/4

• 2

• 4/5

If y = x, what is the constant of proportionality?

• 0

• y

• 1

• x

What does the graph of y = x look like?

• A horizontal line

• A vertical line

• A line with a slope of 1

• A line with a slope of 0

In the equation y = kx, if k = 1, what does this imply about the relationship between y and x?

• y is always greater than x

• y is unrelated to x

• y is always less than x

• y is equal to x

What happens to the constant of proportionality if y is directly proportional to x?

• It varies with x

• It becomes negative

• It becomes zero

• It remains constant

How can you express the constant of proportionality using division?

• y divided by x

• x divided by y

• x multiplied by y

• y added to x