How to Graph 1 x 1: Plot the Point (1, 1) Step by Step
Learning how to graph 1 x 1 is simple once you understand that the expression usually refers to the coordinate point ((1,1)). To graph this point, begin at the origin ((0,0)), move one unit to the right along the x-axis, and then move one unit upward along the y-axis. The point where you stop is ((1,1)) Surprisingly effective..
What Does “1 x 1” Mean on a Graph?
In coordinate geometry, the notation “1 x 1” often represents the ordered pair ((1,1)). An ordered pair gives two pieces of information:
- The x-coordinate tells you how far to move horizontally.
- The y-coordinate tells you how far to move vertically.
For the point ((1,1)), the x-coordinate is 1 and the y-coordinate is also 1. The order matters because coordinate points are read from left to right. To give you an idea, ((1,3)) and ((3,1)) identify two different locations Simple, but easy to overlook..
The expression (1 \times 1) also has a numerical meaning: multiplying 1 by 1 gives 1. That said, when the question asks how to graph “1 x 1,” it is almost certainly referring to plotting the coordinate ((1,1)) The details matter here. That's the whole idea..
Understanding the Coordinate Plane
A coordinate plane, also called a Cartesian plane, consists of two perpendicular number lines:
- The horizontal line is the x-axis.
- The vertical line is the y-axis.
- The two axes meet at the origin, which is labeled ((0,0)).
Numbers increase as you move:
- To the right along the x-axis.
- To the left along the x-axis.
- Upward along the y-axis.
- Downward along the y-axis.
Negative coordinates are located to the left of the y-axis or below the x-axis. Positive coordinates are located to the right of the y-axis or above the x-axis.
To locate ((1,1)), remember this rule: first move horizontally, then vertically. This order prevents the most common graphing error, which is reversing the coordinates.
How to Graph the Point (1, 1)
Follow these steps to graph ((1,1)):
-
Locate the origin.
Find the point where the x-axis and y-axis intersect. This is ((0,0)) Small thing, real impact. Simple as that.. -
Read the first coordinate.
The first number is the x-coordinate. Since the x-coordinate is 1, move one unit to the right from the origin That's the part that actually makes a difference.. -
Read the second coordinate.
The second number is the y-coordinate. Since the y-coordinate is 1, move one unit upward. -
Mark the location.
Place a filled dot at the final location and label it ((1,1)).
You can also think of the movement as an instruction:
Right 1, up 1.
The graphed point will
