Solving Equations Graphically

Tutoring on Solving Equations Graphically

Learning Objectives:

Understand to Solve Equations Graphically.

Math Tutoring on Solving Equations Graphically

To solve equations graphically we will talk about the Intersection Method and the Zero Method.
Remember that a solution to an equation is a value or values that make the equation true. We often solve equations algebraically.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
Intersection Method for Solving Equations is as follows:
1. If a linear equation is in the form of f(x) = g(x), first we will graph y1 = f(x), then we will graph y2 = g(x).
2. So essentially we will graph the right side and the left side of the equation separately.
3. Then we will find the x-coordinate of the point of intersection.
4. x-coordinate of the point of intersection will be the solution.
 We have a graph of
f(x), a graph of g(x), the point of intersection and the x-coordinate of this point represents the solution.

Zero Method for Solving Equations is as follows:

1. Set the equation equal to zero. The form will be f(x) = 0 or 0 = f(x).  

2. Graph y = f(x).       

3. Look for x-intercept also called the zero. The x-intercept is the solution to the equation.

 

 

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Hook Questions:

1.    What is the Intersection Method for solving an equation?

2.    What is the Zero Method for solving an equation?

 

 

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