Find the slope of the line.
22) 4y = -7 + 5x
4
A)
5
23) 4x = -3y + 13
4
A) - 3
22)
7
B)
5
5
C)
4
5
D) - 4
13
B)
4
4
C)
3
3
D) - 4
23)
24) y = 8
A) -8
24)
B) 0
C) 8
D) Undefined
25) x = -10
A) -10
B) Undefined
C) 1
D) 0
25)
Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
26) 3x - 6y = -2
18x + 9y = -2
A) Parallel
B) Neither
C) Perpendicular
Find the slope of the line going through the given pair of points.
27) (3.7, 4.2) and (3.2, 2.7)
A) -3
1
C) - 3
B) 3
27)
1
D)
3
Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
28) 3x - 8y = 12
32x + 12y = 12
A) Perpendicular
B) Neither
C) Parallel
29) 6x + 2y = 8
12x + 4y = 17
A) Parallel
26)
28)
29)
B) Neither
C) Perpendicular
8
Choose the line that most closely resembles the graph of the given equation.
30) y = 2x + 4
A)
B)
8
-8
-6
-4
30)
y
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
-2
-2
-4
-4
-6
-6
-8
-8
C)
y
2
4
6
8 x
2
4
6
8 x
D)
8
-8
-6
-4
y
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
-2
-2
-4
-4
-6
-6
-8
-8
9
y
31) y = -2
A)
31)
B)
5
y
5
4
4
3
3
2
2
1
1
-5 -4 -3 -2 -1
-1
1
2
3
4
5x
y
-5 -4 -3 -2 -1
-1
-2
-2
-3
-3
-4
-4
-5
1
2
3
4
5x
1
2
3
4
5x
-5
C)
D)
5
y
5
4
4
3
3
2
2
1
1
-5 -4 -3 -2 -1
-1
1
2
3
4
5x
-5 -4 -3 -2 -1
-1
-2
-2
-3
-3
-4
-4
-5
-5
y
Use the geometric interpretation of slope (rise divided by run) to find the slope of the line. Then, by identifying the
y-intercept from the graph, write the slope-intercept form of the equation of the line.
32)
32)
y
10
5
-10
-5
5
10
x
-5
-10
A) y = 3x + 7
7
B) y = - x + 7
3
3
C) y = - x + 3
7
10
D) y = -3x + 7
33)
33)
y
10
5
-10
-5
5
10
x
-5
-10
1
A) y = - x + 2
2
B) y = - 2x + 4
C) y = 2x + 4
D) y = -2x + 4
34)
34)
y
10
5
-10
-5
5
10
x
-5
-10
A) y = x + 6
C) y = - x - 6
B) y = x - 6
Write an equation of the line with the given slope and y -intercept.
35) m = 0; (0, 2)
A) y = 0
B) x = 2
C) y = 2
D) y = - x + 6
35)
D) y = 2x
36) m = 5; (0, 0)
A) y = x + 5
B) y = 5
C) x = 5y
D) y = 5x
36)
37) Undefined slope; (6, 5)
A) 6x + 5y = 0
B) x = 6
C) y = 5
D) 5x + 6y = 0
37)
Write an equation of the line through the given point with the given slope. Write the equation in slope -intercept form.
38)
38) (3, 3); m = - 6
1
1
B) y = -6x - 21
C) y = -6x + D) y = -6x + 21
A) y = - x + 21
21
6
39) (3, 2); m = - 4
9
4
10
A) y = - x + 9
3
39)
9
3
B) y = - x - 4
10
4
3
C) y = - x + 9
10
11
4
10
D) y = - x - 9
3
40) (0, 3); m = 5
3
40)
3
1
A) y = - x + 5
3
41) (0, 2); m = - 5
C) y = - x + 3
3
5
D) y = x + 3
3
2
3
3
A) y = - x + 2
2
42) (0, 2); m = 5
1
B) y = x - 3
3
41)
2
B) y = - x + 2
3
2
1
C) y = - x + 3
2
2
D) y = - x - 2
3
5
8
5
1
A) y = x + 8
2
42)
5
B) y = x + 2
8
5
C) y = x - 2
8
8
D) y = x + 2
5
Write the slope-intercept form of the equation for the line passing through the given pair of points.
43) (-3, 0) and (0, -7)
3
7
7
3
B) y = - x - 7
C) y = - x - 7
D) y = x - 7
A) y = x - 7
7
3
3
7
Solve the problem.
44) A moving firm charges a flat fee of $35 plus $30 per hour. Let y be the cost in dollars of using the
moving firm for x hours. Find the slope-intercept form of the equation.
A) y = 35x + 30
B) y = 30x + 35
C) y = 35x - 30
D) y = 30x - 35
43)
44)
45) A cab company charges a base rate of $2.00 plus 20 cents per minute. Let y be the cost in dollars of
using the cab for x minutes. Find the slope-intercept form of the equation.
A) y = 0.20x + 2.00
B) y = 2.00x - 0.20
C) y = 2.00x + 0.20
D) y = 0.20x - 2.00
45)
46) An electrician charges a fee of $50 plus $35 per hour. Let y be the cost in dollars of using the
electrician for x hours. Find the slope-intercept form of the equation.
A) y = 50x + 35
B) y = 35x - 50
C) y = 50x - 35
D) y = 35x + 50
46)
47) A cable TV company charges $27 for the basic service plus $5 for each movie channel. Let y be the
total cost in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept
form of the equation.
A) y = 27x - 5
B) y = 5x - 27
C) y = 5x + 27
D) y = 27x + 5
47)
Write the slope-intercept form of the equation for the line passing through the given pair of points.
48) (-6, 0) and (-2, 7)
7
21
2
25
2
25
7
21
A) y = x + B) y = - x + C) y = x + D) y = - x + 4
2
3
3
3
3
4
2
49) (-2, -6) and (9, 2)
4
22
A) y = x - 7
7
48)
49)
4
22
B) y = - x - 7
7
8
50
C) y = - x - 11
11
12
8
50
D) y = x - 11
11
50) (-6, 3) and (-4, 6)
3
A) y = - x + 12
2
9
48
B) y = - x + 10
5
3
C) y = x + 12
2
9
48
D) y = x + 10
5
50)
51) (-5, 6) and (-5, 5)
A) y = 6
B) 5x + 6y = 0
C) 6x + 5y = 0
D) x = -5
51)
Graph the line.
52) Through (8, 0), m = - 1
2
52)
y
10
5
-10
-5
5
10
x
-5
-10
A)
B)
y
-10
y
10
10
5
5
-5
5
10
x
-10
-5
-5
-5
-10
-10
C)
5
10
x
5
10
x
D)
y
-10
y
10
10
5
5
-5
5
10
x
-10
-5
-5
-5
-10
-10
13
53) Through (0, 5), m = - 1
5
53)
y
10
5
-10
-5
5
10
x
-5
-10
A)
B)
y
-10
y
10
10
5
5
-5
5
10
x
-10
-5
-5
-5
-10
-10
C)
5
10
x
5
10
x
D)
y
-10
y
10
10
5
5
-5
5
10
x
-10
-5
-5
-5
-10
-10
14