Algebra 2 - How to determine when an equation is an example of direct variation or not, y‐6x=0

The video tutorial provides an overview of direct variation, focusing on the equation Y = KX. It explains how to identify direct variation by checking if an equation can be written in the form Y = KX. The tutorial also covers how to rewrite equations to fit this form and discusses examples of equations that do not represent direct variation due to the presence of addition or subtraction.

What is the standard form of a direct variation equation?

• Y = K + X

• Y = KX

• Y = K - X

• Y = X/K

If an equation is in the form Y = KX, what does K represent?

• The slope of the line

• The y-intercept

• The x-intercept

• The constant of variation

In the equation Y = 6X, what is the value of K?

• 6

• 0

• 1

• X

Why can't an equation with addition or subtraction be a direct variation?

• Because it affects the x-intercept

• Because it changes the slope

• Because it alters the constant of variation

• Because direct variation equations cannot have additional terms

Which of the following is NOT a characteristic of direct variation?

• The graph is a straight line through the origin

• The equation can include addition or subtraction

• The equation is in the form Y = KX

• The value of K is constant