Exercise 7 Page 374

To graph the function y=3x+7, we will follow two steps.

1. Make a function table to find some ordered pairs.
2. Graph the ordered pairs and draw the line through them.

   Let's do these things one at a time. To make a function table, we will select some values of x which will be part of our domain. Then we will substitute these values into the function for x to find the corresponding values of y. These x- and y-values will create a set of ordered pairs.

   x	3x+7	y	(x,y)
   - 2	3( - 2)+7	1	( - 2, 1)
   - 1	3( - 1)+7	4	( - 1, 4)
   0	3( 0)+7	7	( 0, 7)
   1	3( 1)+7	10	( 1, 10)

   We found four ordered pairs that lie on the graph of our function. 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+7.