MAT1033 REVIEW SECTION 2.4 (EQUATIONS OF A LINE)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Determine the slope and the y-intercept. Then graph the equation.
1) y = 2x - 7
1)
2) y = -3x + 5
2)
3) 4x + 5y = 27
3)
1
4) 3x - 5y = 24
4)
1
x+3
2
5)
5) y = -
6) 5x - 2y + 3 = 0
6)
2
7) x + y = 1
7)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write the equation of the line in slope-intercept form given the slope and the coordinates of the y -intercept.
8) m = 0; (0, 5)
8)
A) y = 5x
B) y = 0
C) y = 5
D) x = 5
9) m = 4; (0, 0)
A) y = x + 4
10) m = -
9)
D) y = 4
2
x-7
5
10)
B) y =
2
x+7
5
C) y = -
2
x+7
5
D) y = -
2
x-7
5
7
; (0, -4)
2
A) y =
12) m =
C) x = 4y
2
; (0, 7)
5
A) y =
11) m =
B) y = 4x
7
x+4
2
11)
B) y = -
7
x-4
2
C) y =
7
x-4
2
D) y = -
7
x+4
2
1
; (0, 3)
2
A) y =
1
x-3
2
12)
B) y =
1
x+3
2
C) y = -
1
x+3
2
D) y = -
1
x-3
2
Write the equation of a line in slope-intercept form with the given slope passing through the given point.
13) m = - 2; (3, 5)
1
1
A) y = - x + 11
B) y = -2x + 11
C) y = -2x +
D) y = -2x - 11
2
11
14) m = -
4
; (5, 5)
7
A) y = -
4
7
x+
7
55
13)
14)
B) y = -
7
7
x4
55
C) y = -
3
4
55
x7
7
D) y = -
4
55
x+
7
7
15) m =
5
; (0, 6)
3
A) y = -
16) m = -
B) y = -
3
1
x+
5
6
C) y =
5
1
x3
6
D) y =
5
x+6
3
6
; (0, 5)
7
A) y = -
17) m =
5
x+6
3
15)
6
x+5
7
16)
B) y = -
6
1
x+
7
5
C) y = -
7
x+5
6
D) y = -
6
x-5
7
3
; (5, 3)
5
A) y =
5
x+6
3
17)
B) y =
3
x
5
C) y = -
3
x
5
Write the equation of a line connecting the given points in slope-intercept form.
18) (-2, 0), (-7, 7)
7
14
7
7
A) y = - x B) y = - x
C) y = x
5
5
5
5
19) (1, -5), (9, 4)
9
49
A) y = - x 8
8
20) (-7, -3), (10, 7)
10
19
x+
A) y = 17
17
9
49
B) y = x 8
8
B) y =
49
C) y = x 8
10
19
x+
17
17
C) x =
10
19
y+
17
17
D) y =
3
x-6
5
7
14
D) y = x 5
5
49
D) y = -x 8
D) x = -
10
19
y+
17
17
21) (9, -5), (9, -7)
A) x = 9
B) y = 9
C) y = -5
D) x = -5
22) (-1, -8), (-4, -8)
A) x = -1
B) y = -8
C) x = -8
D) y = -1
23) (0, 0), (1, -9)
1
A) y = - x
9
B) y = -9x
C) y = 9x
D) y =
1
x
9
18)
19)
20)
21)
22)
23)
Write the equation of a line that passes through the given point and is perpendicular to the given line. Write the
equation in slope-intercept form and in the standard form
24) (3, 6); y = x - 9
24)
A) y = -x - 9
B) y = -x + 9
C) y = x + 3
D) y = x - 3
x + y = -9
x+ y=9
x - y = -3
x- y=3
4
25) (-3, -9); y =
1
x + 18
3
A) y = -3x + 18
3x + y = 18
26) (2, 9); y = 4x - 12
1
19
A) y = - x 4
2
x + 4y = -38
27) (-8, -4); 2x - 5y = 7
5
A) y = - x + 24
2
5x + 2y = 48
25)
C) y = -
B) y = -3x - 18
3x + y = -18
B) y =
1
x - 10
3
x + 3y = -30
1
17
x+
4
2
C) y = -
x - 4y = -34
1
19
x+
4
2
x + 4y = 38
5
B) y = - x - 24
2
5
C) y = x + 16
2
5x + 2y = -48
5x - 2y = -32
D) y =
1
x-8
3
x - 3y = 24
D) y =
1
17
x4
2
26)
x - 4y = 34
2
36
D) y = - x 5
5
27)
2x + 5y = -36
Write the equation of a line that passes through the given point and is parallel to the given line. Write the equation in
slope-intercept form and in standared form
1
28) (-1, -5); y = - x - 6
28)
2
A) y = 2x - 3
2x - y = 3
29) (-5, 7); 2x - 5y = -8
5
A) y = - x + 9
2
5x + 2y = 18
30) (5, 2); x + y = 13
A) y = -x - 7
x + y = -7
B) y = -
1
11
x+
2
2
C) y = -
x + 2y = 11
1
11
x2
2
x + 2y = -11
5
B) y = x + 9
2
2
C) y = x + 9
5
5x - 2y = -18
2x - 5y = -45
B) y = x + 3
x - y = -3
C) y = -x + 7
x+ y=7
5
D) y = 2x + 3
2x - y = -3
2
D) y = - x + 5
5
29)
2x + 5y = 25
D) y = x - 3
x- y=3
30)