Page 100 - Math Course 3 (Book 1)

Slope of a Line

Positive and Negative Slopes

Find the slope of the line that passes through the Find the slope of the line that passes through the
following pair of points. A(–2, 4), B(5, –1) following pair of points. M(–3, –4), N(4, 2)

A. 5 A. 6
7 7
B. – 5 B. 7
7 6
C. 1 C. 2

D. – 3 D. – 6
7

Answer Answer

MO. 3 - L5b Find the slope of the line.

(x , y ) = (2, –2)
1
1
Comparing Slopes (x , y ) = (2, 3)
2
2
m = 5
0
Let’s Begin Division by 0 is undefined.
So, the slope is undefined.

Zero and Undefined Slopes Answer The slope is undefined

Example

Find the slope of the line. Compare Slopes
Example

Two highway routes connect City A and City B. The
first route rises 4 yards vertically for every 30-mile
stretch. The second route rises 8 yards vertically
for every 70-mile stretch.

y – y Which statement is true?
2
m = x – x 1 1 Definition of slope A The first route is steeper than the second route.
2
–3 – (–3) (x , y ) = (–3, –3) B The second route is steeper than the first route.
1
1
m = (x , y ) = (2, –3)
2 – (–3) 2 2 C Both routes have the same steepness.
D You cannot determine which route is steeper.
0
m = or 0
5 Read the Test Item
To compare the steepness of the routes, find the
Answer The slope is 0. slopes.

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