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Chapter 4: Coordinate Geometry

After knowing the slope of the line, we can derive the equation for the line. The formula for the equation of the line is Y-Y1=M(X-X1) where m is the slope. The equation of the line can be put into several forms:

Standard Form: MX + Y = MX1 + Y1

Slope Intercept Form: Y = MX + B where B is the Y interceptor

Point Slope Form: Y-Y1=M(X-X1)

After we know the equation for the line, we can use it to determine any polygons because polygons are made of lines. Here are some additional properties of the equation of the lines under special circumstances:

If two non-vertical lines have equal slopes, then they are parallel.

If two non-vertical lines are parallel, then they have equal slopes.

If the product of the slopes of two non-vertical lines is –1, then the lines are perpendicular.

The product of the slopes of two non-vertical perpendicular lines is –1.

Coordinate geometry is a very important part of math.  We will talk more about it in the course of algebra.    Please take a few minutes break and click here to continue to the next chapter. (You can also click on the drop-down list below to jump to any chapter you like.)

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