Eliminating your parameter for parametric equations

The video tutorial explains how to eliminate parameters in algebraic equations to graph them in function form. It discusses solving equations for y or t, with a preference for solving in the x equation. An example is provided, demonstrating the process of solving for t, substituting it into another equation, and simplifying it. The tutorial concludes with a graphical interpretation of the results, ensuring the slope and intercept are correct.

What is the primary goal when eliminating a parameter from an equation?

• To solve for multiple variables simultaneously

• To introduce a new variable

• To make the equation more complex

• To graph the equation in function form

When solving for t in the x equation, what is the expression for t in terms of x?

• t = (x + 5) / -3

• t = (x - 5) / -3

• t = (x - 5) / 3

• t = (x + 5) / 3

What is the next step after finding the expression for t in terms of x?

• Graph the x equation

• Solve for y in terms of t

• Substitute t into the y equation

• Eliminate x from the equation

What form is the equation put into after substitution and simplification?

• Standard form

• Quadratic form

• Vertex form

• Slope-intercept form

What does the instructor confirm about the slope after simplification?

• The slope is negative

• The slope is undefined

• The slope is zero

• The slope is positive