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**Graphing Using Tables (continued)**

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**Graph 2x + y = 4 using a table.**

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**Graph 3x – y = 2 using a table.**

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Graph using a table.

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Graphing LINEAR EQUATIONS are what we will focus on the next few weeks.

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**Characteristics of Linear Equations**

How can I look at an equation and know that it will form a line? 5 Characteristics No variable has an exponent other than 1 (Ex. 1) No variable is in absolute value (Ex. 2) No variables are multiplied together (Ex. 3) No variable in the denominator (Ex. 4) No more than 2 variable (Ex.: 2x + y + z = 9) If an equation passes these 5 things, it will form a line.

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Graphing What do you notice about ALMOST any line you can draw on a graph? Intercepts occur when a graph hits either axis. X-intercept – where the graph crosses the x-axis Occurs when y = 0 Y-intercept – where the graph crosses the y-axis Occurs when x = 0

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**Graphing Using Intercepts**

If you know an equation is linear, you may find the x- and y-intercepts and use the 2 points to graph a line. Example: Graph 5x – 2y = 15 using intercepts.

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**Graph the following equation by finding the x- and y-intercepts.**

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**Is the equation 4x - 5y = 8 linear? If so, graph it.**

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**Is the equation 4x2 + 2y = 12 linear? If so, graph it.**

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**What are the x- and y-intercepts of the equation 9x + 2y = -36?**

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Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis.

Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis.

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