Graph linear equations worksheet
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To graph a linear relation from an equation, first create a table of values by substituting different values for the variable x into the equation and calculating the corresponding y values. Then plot the points from the table on a graph grid and connect them with a straight line. The document provides an example of graphing the equation y = -4x + 6 by creating a table with x values of -1, 0, and 1 and the corresponding y values. It also includes practice problems asking the reader to graph other linear equations by first making tables of x and y values.
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Graph linear equations worksheet
- 1. Graphing Linear Relations from Equations<br />To graph a linear relation from an equation, first create a table of values, then plot the data in the table on a grid.<br />•To graph y = –4x + 6:<br />Create a table of values.<br />Choose 3 values for x, then calculate the corresponding values of y.<br />Substitute: x = –1Substitute: x = 0Substitute: x = 1<br />y = –4(–1) + 6y = –4(0) + 6y = –4(1) + 6<br />= 4 + 6 = 0 + 6= –4 + 6<br />= 10= 6= 2<br />Write the values of x and y in a table.<br />xy–1100612<br />Plot the points on a grid.<br />Since the data are not discrete,<br />join the points.<br />Check Your Understanding<br />1.Create a table of values for each linear relation, then graph the relation.Use values of x from –1 to 1.a) y = 4xb) y = x – 2c) y = x + 2d) y = 2x + 3e) y = –2x + 3f) y = 4 – xg) y = –3x – 4h) y = 1 – 5x<br />2. Page 308 # 6<br />3. Page 319 #6 and 15<br />