Final answer:
In order to graph the equation y = 2x + 3, we choose values for x and calculate the corresponding values of y. Then, we plot these points on a graph and draw a line through them.
Step-by-step explanation:
To graph the equation y = 2x + 3, we can start by choosing a few values for x and then calculating the corresponding values of y. Let's choose some values for x:
- x = -2, y = 2(-2) + 3 = -1
- x = -1, y = 2(-1) + 3 = 1
- x = 0, y = 2(0) + 3 = 3
- x = 1, y = 2(1) + 3 = 5
- x = 2, y = 2(2) + 3 = 7
Now, we can plot these points on the graph and draw a line through them (see image below)