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## Studying the Basics of Graphing Linear Equation With Free Math Worksheets

**First, the basics!** The x axis of a chart refers to the horizontal line while the y axis refers to the vertical line. Together these lines form a cross and the point where they meet is called the origin. The value of the origin is always 0. So if you move your pencil from the origin to the right, you draw a line through the positive x-axis values, i.e. 1, 2, 3 and so on. From the origin to the left, you move on the negative x-axis values, i.e. -1, -2, -3 and so on. If you move up from the origin, you cover the positive y-axis values. Going down from the origin, you will arrive at the negative y-axis values.

**How to find points in a graph?** This set of numbers (2, 3) is an example of an ordered pair. The first number refers to the value of x while the second number represents the value of y. When ordered pairs are used to find points on the grid, they are called the coordinates of the point. In the example above, the x coordinate is 2 while the y coordinate is 3. Together they allow you to locate the point (2, 3) on the grid. What’s the point of all this? Well, have you ever wondered how ships describe exactly where they are in the vastness of the ocean? To be able to locate places, people have to draw a grid on the map and describe points using x and y coordinates. Why not try ? Imagine that the left side wall of your room is the y axis and the wall behind you is the x axis. The corner that connects them both will be your origin. Measure both in feet. If I say standing on the coordinates (3, 2), would you know where to go? This means that from the corner (origin) you must move 3 feet to the right and 2 feet forward.

**Graphical representation of linear equations**. If you have multiple sets of x and y coordinates, you can now draw lines on a graph. Free math worksheets can help you plot x and y coordinates while graphing a linear equation. A linear equation when drawn on a line graph always results in a straight line. Take “y = 2x + 1” for example – a linear equation. Assign three numbers to x, then solve for y. Whatever numbers you assign to x and whatever y is, you will end up with a straight line. Remember to practice on easier math worksheets before moving on to writing a linear equation or systems of linear equations. Good luck!

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