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
2x+5
y
(x,y)
- 3
2( - 3)+5
- 1
( - 3, - 1)
- 2
2( - 2)+5
1
( - 2, 1)
- 1
2( - 1)+5
3
( - 1, 3)
0
2( 0)+5
5
( 0, 5)
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=2x+5.
