Exploring the Equation of Graphs with Constant Proportionality

The video tutorial explains how to find the constant of proportionality, K, in graphs. It demonstrates the process using multiple examples, showing that K is calculated as the ratio of Y to X. The tutorial emphasizes that the equation y = KX will always pass through the origin, and K remains consistent regardless of the point chosen.

What does the letter 'K' represent in the equation y = KX?

• The constant of proportionality

• The slope of the line

• The y-intercept

• The x-intercept

How do you calculate the constant of proportionality?

• Multiply y by x

• Subtract y from x

• Add y to x

• Divide y by x

If a point on the graph is (49, 7), what is the value of K?

• 56

• 7

• 42

• 49

For the point (64, 8), what equation form does it result in?

• y = x + 8

• y = 64x

• y = x/8

• y = 8x

Why is there never a constant added or subtracted in the equation y = KX for proportionality graphs?

• Because the x-value is never zero

• Because K is always a positive number

• Because the graph is always linear

• Because the line always passes through the origin

If you have a point (14, 2) on the graph, what is the constant of proportionality?

• 28

• 16

• 12

• 7

Does the specific point you choose on the graph to calculate K affect the value of K?

• Yes, different points will give different values of K

• No, but only specific points can be used

• No, any point chosen will give the same value of K

• Yes, but only if the graph is not linear

What is the equation form if K is found to be 7 using a point (56, 8)?

• y = 56x

• y = x/7

• y = 7x

• y = x + 7

What is the value of K for a point where y = 56 and x = 8?

• 64

• 8

• 7

• 48

In the equation y = KX, what does the graph look like if K > 0?

• A vertical line

• A horizontal line

• An upward sloping line

• A downward sloping line