Wednesday, June 27, 2012

Slope of a line through the origin


Here is another simple SAT lesson. 

Slope ~ Line through the Origin

In the X-Y Plane, line l passes through (0,0)  and (4,-3). Line m passes through (3,-4) and is perpendicular to line l. What is the slope of line m?


Concepts to know:
1.     Positive and Negative Slope
2.     Lines that are parallel with the X and Y axis
a.     The X-axis is the line y=0. Lines parallel the X-axis have no slope, m = 0. All lines that are parallel have the same slope, so any line that is parallel to the X-axis will be a line y = a, where a is a real number. Like y = 4. These are also called Horizontal Lines.
b.     The Y-axis is the line X=0. It has an undefined slope. These lines have the equation x = b, where b is a real number. They are called Vertical Lines. [Note: Vertical Lines are NOT functions].

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