Identifying Direct and Inverse Variation

What is the main topic of the video?

• Solving quadratic equations

• Understanding direct and inverse variation equations

• Learning about trigonometric functions

• Exploring calculus concepts

Which form represents a direct variation equation?

• y = x + K

• y = x / K

• y = K * x

• y = K / x

What is the graphical representation of a direct variation equation when K is positive?

• A straight line passing through the origin with a negative slope

• A hyperbola

• A straight line passing through the origin with a positive slope

• A parabola

Which form represents an inverse variation equation?

• y = x - K

• y = K / x

• y = x + K

• y = K * x

What is the shape of the graph of an inverse variation equation?

• A straight line

• A parabola

• A circle

• A hyperbola

How do you solve for the constant K in a direct variation equation?

• Divide both sides by x

• Add x to both sides

• Subtract x from both sides

• Multiply both sides by x

In an inverse variation equation, what is the relationship between x and y?

• There is no relationship

• As x increases, y decreases

• As x decreases, y decreases

• As x increases, y increases

Given the equation y = 4x - 2, is it a direct or inverse variation?

• Neither

• Inverse

• Both

• Direct

If y = 12x, what is the constant of variation?

• 1

• y

• 12

• x

In a table of values, if the product of x and y is constant, what type of variation is it?

• Linear variation

• No variation

• Inverse variation

• Direct variation