College Algebra, 2013a

40 Relations and Functions
47. 3x − y =7
Re-write as: y =3x − 7.
x-intercept: ( 7 3 , 0)
y-intercept: (0, −7)
x y (x, y)
−2 −13 (−2, −13)
−1 −10 (−1, −10)
0 −7 (0, −7)
1 −4 (1, −4)
2 −1 (2, −1)
3 2 (3, 2)
3
2
1
y
−2−1 1 2 3
−1
−2
−3
−4
−5
−6
−7
−8
−9
−10
−11
−12
−13
x
The graph is not symmetric about the
x-axis (e.g. (3, 2) is on the graph but
(3, −2) is not)
The graph is not symmetric about the
y-axis (e.g. (3, 2) is on the graph but
(−3, 2) is not)
The graph is not symmetric about the
origin (e.g. (3, 2) is on the graph but
(−3, −2) is not)
48. 3x − 2y =10
Re-write as: y = 3x−10
2
.
x-intercepts: ( 10
3 , 0)
y-intercept: (0, −5)
x y (x, y)
−2 −8 (−2, −8)
−1 − 13 ( )
2 −1, −
13
2
0 −5 (0, −5)
1 − 7 ( )
2 1, −
7
2
2 −2 (2, −2)
2
1
y
−3−2−1 1 2 3 4
−1
−2
−3
−4
−5
−6
−7
−8
−9
x
The graph is not symmetric about the
x-axis (e.g. (2, −2) is on the graph but
(2, 2) is not)
The graph is not symmetric about the
y-axis (e.g. (2, −2) is on the graph but
(−2, −2) is not)
The graph is not symmetric about the
origin (e.g. (2, −2) is on the graph but
(−2, 2) is not)