Tutorial - Determine if an equation is an example of direct variation ex 4, y= 1/5x

The video tutorial explains how to determine if an equation is an example of direct variation, where Y varies directly with X. It guides viewers through rewriting the equation into a standard form to identify the constant of variation, which is found to be 1/5. The tutorial concludes by confirming the equation as a direct variation example with the constant identified.

What is the main objective when determining if an equation is an example of direct variation?

• To calculate the y-intercept

• To identify the constant of variation

• To find the slope of the line

• To determine the domain of the function

Which of the following formats indicates that an equation is in direct variation?

• y = k/x

• y = mx + b

• y = kx

• y = x^2 + k

How can the equation y = x/5 be rewritten to show direct variation?

• y = (1/5)x

• y = x - 5

• y = x + 5

• y = 5x

What is the constant of variation in the equation y = x/5?

• x

• y

• 1/5

• 5

What conclusion can be drawn about the equation y = x/5?

• It is not an example of direct variation

• It is an example of inverse variation

• It is a quadratic equation

• It is an example of direct variation with a constant of 1/5