How do you graph the set of ordered pairs {(0,0), (1,3), (-2,4)}?

1 Answer
May 28, 2017

For each point, move right or left along the horizontal #x#-axis and up or down parallel to the #y#-axis.

Explanation:

For each point given of the form #(x,y)#, you move along the horizontal #x#-axis #x# number of points. Positive numbers move to the right from the origin. Negative numbers move to the left from the origin. Then, you move vertically, parallel to the #y#-axis to find the 2nd #y#-value. Positive values move up, while negative numbers move down. Draw your point at that point.

The first point you are given is #(0,0)#. Starting from the origin (i.e., where the #x#-axis and #y#-axis meet), you are told to move a distance of #x=0# along the #x#-axis, followed by a distance of #y=0# parallel to the #y#-axis. Luckily a distance of zero isn't very far from the origin!

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The second point you are given is #(1,3)#. This time, you are told to move a distance of #x=1# along the #x#-axis, followed by a distance of #y=3# parallel to the #y#-axis.

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The third point you are given is #(-2,4)#. This time, you are told to move a distance of #x=-2# left along the #x#-axis, followed by a distance of #y=4# parallel to the #y#-axis.

Desmos.com and MS Paint