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The formula ** y - y1 = m(x - x1)** is usually
described as the

It is useful because if you know one point on a certain line and the slope of that certain line, then you can define the line with this type of formula and, thus, find all the other points on that certain line.

To use this equation you need to know one point on a certain line. The
name of this known point is (x1, y1), and these x- and y-coordinate values
are the numbers that appear, respectively, as ** x1**
and

The slope of the line is the variable **m**. Below the slope
of our line is calculated with a rise of 15 and a run of 5. The slope is
equal to 3.

The program below lets you change the known point coordinates and the slope for a line. You will be able to see how these changes effect the point-slope equation of the line, which is displayed over the graph, upper left.

This is an EZ Math Movie. Click the 'Show system' checkbox to expose the EZ Math Movie language. You do not have to understand EZ Math Movie to use this application.

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Learn about this at EZ Math Movie [ezmathmovie.com]

The original page for this information contains a Java applet animation that resembles the application found here. If your browser runs Java, you may want to take a look at it. You can find it by clicking here.

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