Finding Equations of Lines
Use the equation to identify the slope and the y -intercept of the graph.
1) 9x + 7y = 59
7
7
9
59
7
7
A) m = - ; (0,
)
B) m = - ; (0,
)
C) m = ; (0,
)
9
59
7
7
9
59
2) 4x + 5y = 22
22
4
)
A) m = ; (0,
5
5
3) -4x + 5y = -10
4
A) m = ; (0, -2)
5
4) y =
1
5
B) m = -1 ; (0,
)
4
22
D) m =
9
59
; (0,
)
7
7
1
5
C) m = 1 ; (0,
)
4
22
D) m = -
D) m = 1; (0, +2)
B) m = -
4
; (0, +2)
5
C) m = -1; (0, -2)
B) m = -
13
; (0, 3)
4
C) m =
4
22
; (0,
)
5
5
13
x-3
4
A) m = -
13
; (0, -3)
4
5) -4x + y = 17
A) m = 4; (0, -17)
B) m = -4; (0, -17)
6) y - 1 = 4
A) m = 0; (0, 5)
C) m = 1; (0, 0)
13
; (0, 3)
4
C) m = 4; (0, 17)
D) m =
13
; (0, -3)
4
D) m = -4; (0, 17)
B) m is undefined; (0, 5)
D) m = 0; (0, 3)
Find an equation of the line with the given slope that passes through the given point. Write the equation in the form
Ax + By = C.
3
7) m = - ; (3, 3)
7
A) 7x + 3y = -30
B) 3x - 7y = 30
C) 3x + 7y = -30
D) 3x + 7y = 30
B) 5x + 9y = -56
C) 9x + 5y = -56
D) 5x + 9y = 56
9) m = 4; (1, 6)
A) 4x - y = 23
B) 4x - y = -6
C) 4x - y = -10
D) 4x - y = -2
10) m = -5; (-9, -4)
A) 5x + y = -4
B) 5x + y = -29
C) 5x + y = 49
D) 5x + y = -49
B) 6x - 6y = -33
C) x - 6y = -78
D) x - 6y = 33
8) m = -
5
; (4, 4)
9
A) 5x - 9y = 56
11) m =
1
; (-9, 4)
6
A) x - 6y = -33
Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C.
12) (7, -7) and (0, -3)
A) 14x + 3y = -9
B) -4x + 7y = -21
C) -14x - 3y = -9
D) 4x + 7y = -21
13) (-9, 0) and (2, 4)
A) -9x - 2y = 10
B) 9x + 2y = 10
C) 4x - 11y = -36
D) -4x - 11y = -36
14) (-3, 4) and (8, -6)
A) -10x - 11y = -14
B) -7x + 14y = -28
C) 10x - 11y = -14
D) 7x - 14y = -28
15) (3, -3) and (-5, -8)
A) 6x + 3y = 6
B) -5x + 8y = -39
C) 5x + 8y = -39
D) -6x - 3y = 6
B) -17x - 13y = -1
C) -13x - 17y = 1
D) 13x + 17y = -1
16) (-
5 4
1 1
, ) and (- , )
3 3
4 4
A) -13x - 17y = -1
Answer Key
Testname: EX 13 FINDING EQ LINES
1) B
2) D
3) A
4) D
5) C
6) A
7) D
8) D
9) D
10) D
11) A
12) D
13) C
14) A
15) B
16) A