Algebra 2 - Determine if a function is an example of direct variation y‐1=x

The video tutorial explains how to determine if an equation is an example of direct variation. It involves solving for Y and checking if the equation is in the form of Y = kX, where k is a constant. The tutorial highlights that direct variation does not include any addition or subtraction of constants. The example given, Y = X + 1, is analyzed and determined not to be a direct variation due to the presence of the constant 1 added to X.

What is the first step in determining if an equation represents direct variation?

• Check if Y is isolated on one side of the equation.

• Ensure there are no fractions in the equation.

• Verify if the equation is quadratic.

• Look for any constants added to Y.

In the equation y = X + 1, what is the coefficient of X?

• 0

• 1

• X

• None of the above

Why does the equation y = X + 1 not represent direct variation?

• Because X is not isolated.

• Because it has a negative coefficient.

• Because it is a quadratic equation.

• Because it includes a constant addition.

Which of the following is a characteristic of direct variation?

• The equation includes a constant term.

• The equation is linear with no constant addition or subtraction.

• The equation is quadratic.

• The equation has a negative slope.

What does the presence of a constant in an equation indicate about direct variation?

• It confirms direct variation.

• It makes the equation quadratic.

• It negates direct variation.

• It has no effect on direct variation.