To graph the set of ordered pairs \((0,0)\), \((2,1)\), \((4,2)\), \((6,3)\), and \((8,4)\), plot each point on a coordinate plane:
-
Plot the points:
- \((0,0)\) is the origin.
- \((2,1)\) means 2 units right and 1 unit up.
- \((4,2)\) means 4 units right and 2 units up.
- \((6,3)\) means 6 units right and 3 units up.
- \((8,4)\) means 8 units right and 4 units up.
-
Connect the points (optional): If you want to visualize a relationship, you can connect the points with straight lines, giving you a trend or pattern.
This should give you a straight line that passes through all these points, as they represent a linear function.
Unfortunately, without seeing your response options, I can't indicate which graph matches the described set. Generally, you would look for a graph that shows a straight line passing through each of these points. The pattern indicates that as the x-coordinate increases by 2, the y-coordinate increases by 1, forming a linear relationship.
If you can share your response options, I can help you identify the correct one!