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Big Ideas Math: Modeling Real Life, Grade 6 View details

4. Writing Equations in Two Variables

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Exercise 48 Page 271

Make a function table to obtain ordered pairs.

Practice makes perfect

To graph the function y=3x+2, we will follow two steps.

Make a function table to obtain ordered pairs.
Graph the ordered pairs and draw the line through them.

Let's do these things one at a time.

Making a Function Table

To make a function table, we will select some values of x. Then, we will substitute these values for x to find the corresponding values of y. These x- and y-values will create a set of ordered pairs.

x	3x+2	y	(x,y)
0	3( 0)+2	2	( 0, 2)
1	3( 1)+2	5	( 1, 5)
2	3( 2)+2	8	( 2, 8)
3	3( 3)+2	11	( 3, 11)

We found four ordered pairs that lie on the graph of our function.

Graphing the Ordered Pairs and Drawing the Line

Next, we will graph the ordered pairs and connect them with a straight line.

The line is the complete graph of the function. The ordered pairs corresponding to any points on the line are solutions of the equation y=3x+2.

Subchapter links

Try It p.266-268

Self-Assessment for Concepts & Skills p.268

Self-Assessment for Problem Solving p.269

Review & Refresh p.270

Concepts, Skills, & Problem Solving p.270-272

Exercise 48 Page 271

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Practice exercises

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Making a Function Table

Graphing the Ordered Pairs and Drawing the Line