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Graphs of Linear Equations in Two Variables
A
B
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. . . .

Slope of a Line

Example 1

The slope of line l is 3 4 . What is the slope of line n given each condition?

a. Line n is parallel to line l.
b. Line n is perpendicular to line l.


Solution
a. 3 4
b. 4 3



Example 2

Graph the line that passes through the point (2,5) and whose slope is 4 3 .



Solution

First, plot the point (2,5). Then use the given slope, which is 4 3 , to find a second point on the line. Here is one way to do this. From (2,5), go 4 steps down and then 3 steps to the right. You will reach point (1,1). The line connecting the points (2,5). and (1,1) is the required line. The graph is shown in the figure below.