Monday, December 3, 2012. §11.1 Graphing Linear Equations For any equation with an x and a y, there are many solutions that fit the equation. Each solution.

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Presentation transcript:

Monday, December 3, 2012

§11.1 Graphing Linear Equations For any equation with an x and a y, there are many solutions that fit the equation. Each solution can be written as an ordered pair: (-3, -10), (13, 6), and (0, -7) A graph of an equation is simply a picture of all solutions of an equation. A graph of an equation is simply a picture of all solutions of an equation. I should write this down!

How do you tell if an equation is linear? Graph it:  Does it make a straight line? Then it’s linear! Look at the variables:  If x and y have exponents of 1 each, then it’s linear!

Graph the equation. (-3, -10), (13, 6), and (0, -7) x y This line represents ALL the points that satisfy the equation y = x – 7. I can just read along here

Weird Equations How do you find solutions of equations where either the x or the y is missing?  For example:xyxy I should write this down!

Writing Equations in Function Form. Solve for y in terms of x. I should write this down! What is “function form”? When an equation is written so that y is isolated.

How to Graph an Equation 1) Write the equation in function form. 2) Choose 3 values of x. (one positive, one negative, and zero) 3) Solve for y using each chosen value of x. 4) List your results in a table. 5) Plot the points on a plane. 6) Connect the dots! I should write this down!

Use a table of values to graph the equation.xy x y I should write this down!