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Goal: Graph a linear equation using a table of values. Eligible Content: A1.2.1.2.1 / A1.2.1.2.2.

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Presentation on theme: "Goal: Graph a linear equation using a table of values. Eligible Content: A1.2.1.2.1 / A1.2.1.2.2."— Presentation transcript:

1 Goal: Graph a linear equation using a table of values. Eligible Content: A1.2.1.2.1 / A1.2.1.2.2

2 Linear Equation – an equation whose graph is a line. Examples: y = 5x + 4 4x + 2y = 10 Solution – any ordered pair that makes an equation true. If a point is a solution it lies on the graph of the equation. Graph – the set of all points that are solutions.

3 Determine if the given point is a solution of the equation algebraically. 1. x+3y= 6, (4, -2) NO 2. 4x + y = 8, (1, 4) YES 3. x – 2y = 5, (3, -4) NO

4 Use the graph to decide if the points are solutions. 1. (1, 2) NO 2. (-3, 3) YES 3. (0, 2) YES

5 Table of Values – used to determine which points to plot to create a graph Graphing – creating a picture that matches an equation

6 1. Get y alone 2. Pick at least 5 values for x. 3. Plug each x into equation to find y. 4. Plot each point. 5. Draw the line through the points using a ruler.

7

8 1. y = 3x + 2 2. y = -2x + 1 3. 3x + 2y = 10 4. 2x + 2y = -8

9 1. y = 4x + 1 2. y = -3x + 4 3. 2x + y = 8 4. 6x – 2y = - 8 5. 4y + 12x = - 4

10 Pages 159-160 #9, 10, 31-34

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