16.1 Lines
1 Calculate and interpret the slope of a line.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the slope of the line through the points and interpret the slope.
1)
y
10
5
(5, 1)
(0, 0)
-10 -5 5 10 x
-5
-10
1
A) ; for every 5-unit increase in x, y will increase by 1 unit
5
B) 5; for every 1-unit increase in x, y will increase by 5 units
1
C) - ; for every 5-unit increase in x, y will decrease by 1 unit
5
D) -5; for every 1-unit increase in x, y will decrease by 5 units
2)
y
10
5
(-2, 0)
-10 -5 5 10 x
(0, -2)
-5
-10
A) -1; for every 1-unit increase in x, y will decrease by 1 unit
B) 1; for every 1-unit increase in x, y will increase by 1 unit
C) -2; for every 1-unit increase in x, y will increase by -2 units
D) 2; for every 1-unit increase in x, y will decrease by -2 units
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, 3)
y
10
5
(0, 3)
(-3, 0)
-10 -5 5 10 x
-5
-10
A) 1; for every 1-unit increase in x, y will increase by 1 unit
B) -1; for every 1-unit increase in x, y will decrease by 1 unit
C) 3; for every 1-unit increase in x, y will increase by 3 units
D) -3; for every 1-unit increase in x, y will decrease by 3 units
4)
10 y
5
-10 -5 5 x
(2, -4)
-5
(6, -5)
-10
1
A) - ; for every 4-unit increase in x, y will decrease by 1
4
B) -4; for every 1-unit increase in x, y will decrease by 4 units
1
C) ; for every 4-unit increase in x, y will increase by 1 unit
4
D) 4; for every 1-unit increase in x, y will increase by 4 units
Find the slope of the line containing the two points.
5) (5, -7); (-6, 9)
16 16 11 11
A) - B) C) D) -
11 11 16 16
6) (3, 0); (0, 5)
5 5 3 3
A) - B) C) D) -
3 3 5 5
7) (4, -1); (5, -3)
1 1
A) - 2 B) 2 C) - D)
2 2
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, 8) (-3, -7); (-3, -1)
1
A) undefined B) 6 C) - D) 0
6
9) (2, -5); (-2, -5)
1
A) 0 B) C) -4 D) undefined
4
2 Graph lines, given a point and the slope.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the line containing the point P and having slope m.
5
1) P = (-6, -3); m = -
2
y
10
5
-10 -5 5 10 x
-5
-10
A) B)
y y
10 10
5 5
-10 -5 5 10 x -10 -5 5 10 x
-5 -5
-10 -10
C) D)
y y
10 10
5 5
-10 -5 5 10 x -10 -5 5 10 x
-5 -5
-10 -10
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, 2
2) P = (-3, -5); m =
3
y
10
5
-10 -5 5 10 x
-5
-10
A) B)
y y
10 10
5 5
-10 -5 5 10 x -10 -5 5 10 x
-5 -5
-10 -10
C) D)
y y
10 10
5 5
-10 -5 5 10 x -10 -5 5 10 x
-5 -5
-10 -10
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