November 19, 2012 Graphing Linear Equations using a table and x- and y-intercepts Warm-up: For #1-3, use the relation, {(3, 2), (-2, 4), (4, 1), (-1, 2),

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November 19, 2012 Graphing Linear Equations using a table and x- and y-intercepts Warm-up: For #1-3, use the relation, {(3, 2), (-2, 4), (4, 1), (-1, 2), (0, 5) 1.Identify the domain and range. 2.Is the relation a function? Explain. 3.What is the inverse of the relation? 4.If f(x) = 3x – 5, find f(-2) HW 4.5: Pg. 221 #16-24even, graph odd using a table, 35 and 37 using x- and y-intercepts

Lesson 5.4 Linear Equations - Look only at the equations: How do you know when it is linear and when it is not? - Come up with some general rules for determining linear function equations. y x x + y = 1 y x p(x) = 3x 2 – 4 y x y x 5 5 y x 5 5 y x 5 5

Identifying Linear Functions What makes something linear? – X with nothing extra - no exponents, no square roots, not in a denominator – The graph is a line! Examples: Are these linear functions?

Graphing an Equation using a table. Any equation can be graphed using a table! Graph y = 4 – 3x x y = 4 – 3x y (x,y) What is the Domain and Range?

Let ’ s Graph! If you continued to find more points, you would notice that it starts to form a line on the graph that goes forever! Therefore, y = 4 – 3x, is called a Linear Equation

Standard Form Ax + By = C – A, B, and C are integers – A is positive – A and B are not both zero Identify A, B, and C: 3x – 5y = 12 Example 1: Rewrite the linear equation in Standard Form: 2y – 4x + 10 = 11

Using the x- and y-intercepts when a linear equation is in Standard Form What are x and y intercepts? Where are they on a graph? x-intercept – where the graph crosses the x-axis y-intercept – where the graph crosses the y-axis

Finding the x- and y-intercepts and graph 3x – 2y = 15 X - intercept: (x, 0) y = 0, so plug in 0 for y and solve for x. Y - intercept: (0, y) x = 0, so plug in 0 for x and solve for y.