1.2 Introduction to Graphing Equations

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Presentation transcript:

1.2 Introduction to Graphing Equations

An equation in two variables, say x and y is a statement in which two expressions involving these variables are equal. The graph of an equation in two variables x and y consists of the set of points in the xy-plane whose coordinates (x, y) satisfy the equation.

Graphing an Equation By Hand Plotting Points By Using a Graphing Utility

Steps for Graphing an Equation Using a Graphing Utility Step 1: Solve the equation for y in terms of x. Step 2: Get into the graphing mode of your graphing utility and enter the result found in Step1. Step 3: Select the viewing window. (It is common to start with the standard viewing window initially.) Step 4: Graph. Step 5: Adjust the viewing window.

Procedure for Finding Intercepts To find the x-intercept(s), if any, of the graph of an equation, let y = 0 in the equation and solve for x. (x-intercept(s) are also called zeroes or roots of the equation.) To find the y-intercept(s), if any, of the graph of an equation, let x = 0 in the equation and solve for y.