Function - when every x is paired to one y

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Presentation transcript:

Function - when every x is paired to one y Example (-2, -3), (0,6), (3,6), (4, 9) -2 3 4 -3 6 9 X Y

8-2 Linear Equations in Two Variables - An equation that has two different variables. - Makes a straight line when graphed. - These variables cannot have exponents. y = 5x + 7 y = x2 - 10

When you graph an equation, the line you draw represents every possible correct answer to the equation. • • • • Imagine an endless number of points side by side - so close together you can’t see the space between them. SOLUTIONS of Linear Equations are ordered pairs that make an equation true.

LINEAR LINEAR NON-LINEAR LINEAR OR NON-LINEAR???? NON-LINEAR NON-LINEAR LINEAR

Find four solutions to the equation. Write your solutions as ordered pairs. y = 3x - 2 Make a table! X y= 3x - 2 Y (x, y) -1 y= 3(-1) - 2 -5 (-1, -5) y= 3(0) - 2 -2 (0, -2) 1 y= 3(1) - 2 (1, 1) 2 y= 3(2) - 2 4 (2, 4) Choose ANY numbers you want for X. Substitute those values for X. SOLVE!

These 4 points are 4 possible solutions to the function. X y= 3x - 2 Y (x, y) -1 y= 3(-1) - 2 -5 (-1, -5) y= 3(0) - 2 -2 (0, -2) 1 y= 3(1) - 2 (1, 1) 2 y= 3(2) - 2 4 (2, 4) These points can be used to create a graph of the function. These 4 points are 4 possible solutions to the function. The line represents EVERY solution.