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Unformatted text preview: ine is the point where y = 0.
The y intercept of the line is the point where x = 0.
Example
Find the intercepts of the line 2x − 3y = 4, then graph.
Find the intercepts of the line −2x + y = 12, then graph. Applications Outline Linear Equations Graphing Linear Equations The Slope of a Line Applications The Slope of a Line
Deﬁnition
The slope of a line is the number
m= Rise
y2 − y1
Vertical Change
=
=
Horizontal Change
Run
x2 − x1 where P (x1 , y1 ) and Q (x2 , y2 ) are two points on the line, and
x1 = x2 .
The slope of a line expresses how the line rises or falls as one
mover from left to right.
The slope expresses the rate of change of the line:
∆y
.
∆x
If m > 0, then the line rises to the right.
If m < 0, then the line falls to the right.
m= Outline Linear Equations Graphing Linear Equations The Slope of a Line Applications Examples Example
Find the slope of the line passing through P (−2, 3) and
Q (5, 8).
While there are many exceptions, numerous studies have
shown a close relationship between an average height and an
average weight. Suppose a person 70 in. tall weighs...
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This note was uploaded on 02/10/2014 for the course MATH 1050 taught by Professor K.jplatt during the Spring '14 term at Snow College.
 Spring '14
 K.JPlatt
 Algebra, Linear Equations, Equations, Slope

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