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Chapter 3.3
Slopes of Lines
Concept
Find the Slope of a Line
A. Find the slope of the line.
Substitute (–3, 7) for (x1, y1) and (–1, –1) for (x2, y2).
Answer: –4
Slope formula
Find the Slope of a Line
B. Find the slope of the line.
Substitute (0, 4) for (x1, y1) and
(0, –3) for (x2, y2).
Answer: The slope is undefined.
Slope formula
Find the Slope of a Line
C. Find the slope of the line.
Answer:
Slope formula
Substitute (–2, –5) for (x1, y1) and (6, 2) for (x2, y2).
Find the Slope of a Line
D. Find the slope of the line.
Answer: 0
Slope formula
Substitute (–2, –1) for (x1, y1) and (6, –1) for (x2, y2).
A.
B.
C.
D.
A. Find the slope of the line.
A. 0
B. undefined
C. 7
D.
B. Find the slope of the line.
A.
B.
C. –2
D. 2
C. Find the slope of the line.
A. 0
B. undefined
C. 3
D.
D. Find the slope of the line.
Concept
Example 2
Use Slope as Rate of Change
RECREATION In 2000, the annual sales for one manufacturer of camping equipment was $48.9 million. In 2005, the annual sales were $85.9 million. If sales increase at the same rate, what will be the total sales in 2015?
Concept
Example 3
Determine Line Relationships
Determine whether and are parallel, perpendicular, or neither for F(1, –3), G(–2, –1), H(5, 0), and J(6, 3).
Example 3
A. parallel
B. perpendicular
C. neither
Determine whether AB and CD are parallel, perpendicular, or neither for A(–2, –1), B(4, 5), C(6, 1), and D(9, –2)
Example 4
Use Slope to Graph a Line
First, find the slope of .
Slope formula
Graph the line that contains Q(5, 1) and is parallel to MN with M(–2, 4) and N(2, 1).
Graph the line that contains R(2, –1) and is parallelto OP with O(1, 6) and P(–3, 1).
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