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Comparing lines

Let f(x) = ax + b, and g(x) = cx + d, where a, b, c, and d, are any real numbers.
If f(x) and g(x) are graphed, what can you conclude about a, b, c, and/or d, if:

a. f(x) and g(x) are parallel?
b. f(x) and g(x) are perpendicular?
c. f(x) does not cross the x-axis?
d. g(x) is horizontal?
e. f(x) and g(x) have the same y-intercept?


 Related External Resources

Graphing a Line [ java applet ]
This is an interactive step by step guide to graphing a line by using the y-intercept and another point on the line.

General Form Linear Equations
Graph a series of lines in standard form using an interactive grapher, and observe patterns in the relationship between the graph and the equation. You can also predict the equation of a line from its graph.

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