Equations Of Lines Worksheet With Answer Key Page 6
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1
2
3
4
5
6(c) passing through (-2, 2) and parallel to the line whose equation is
3
− y
2
=
5
x
(d) passing through (4, -7) and perpendicular to the line whose equation is
−
3 =
2
x
y
(e) passing through (2, -3) and perpendicular to x = 4
(f) passing through (-6, 4) and is perpendicular to the line with an x- intercept of 2 and a y -intercept of -4
(g) perpendicular to the line whose equation is
3
x
− y
2
−
4
=
0
and has the same y- intercept as this
line
8. Find the x and y values if the line through the given points has the indicated slope.
3
(a) ( x , 7), (-1, y ), and (1, 4);
(b) ( x , 9), (-4, y ), and (-5, 3);
3 −
m
=
m
=
2
9. Find the coefficients a and b for the equation
+ by
=
30
so that the graph of the line will have an
ax
x- intercept of 5 and a y -intercept of -3. (Use the definition of intercepts to find a and b .)
10. The minimum wage at ABC Department Store in 1965 was $1.12. The minimum wage for this store in
2007 was $7.42. (Note: Round all values for this problem to nearest hundredths.)
(a) Use this information to find the equation of the line that models this data in point-slope form.
(b) Use this information to find the equation of the line that models this data in slope-intercept form.
(c) Use your model to predict the minimum wage for 2012.
(d) What is the average rate of change in minimum wage from 1965 to 2007?
3
2.3 Homework Answers: 1. (a)
4 −
10
;
4
10
0
; (b)
; 1
3
2
2
0
;
y
=
−
x
x
+ y
+
=
y
=
−
x
+
x
+ y
−
=
2
1
1
2
7
(c)
;
2
1
0
; (d)
;
2
5
7
; 0
(e)
; 5
5 =
0
; (f)
8 =
0
y
=
−
x
+
x
+ y
−
=
y
=
x
+
x
− y
+
=
y
=
y
−
x
−
2
2
5
5
3
41
2
3
2. (a)
; 1
(b)
4 +
16
; (c)
; (d)
; (e)
2
; (f)
y
= x
−
+
y
=
−
x
y
=
x
−
x
=
−
y
=
x
+
y =
a
8
8
3
5
2
4
3
3. (a)
2
4
0
; (b)
2
3
15
:
; 5
:
; 4
3
5. (a)
3 ;
x
+ y
−
=
x
− y
=
4.
l
y
=
−
x
+
l
y
=
l
=
x
−
−
1
2
3
3
5
7
1
5
B
A
(b)
−
;
(c) 0; 3 (d)
=
;
−
6. (a) parallel; (b) perpendicular; (c) neither; (d) perpendicular
m
4
8
C
C
3
1
7. (a)
4 −
42
;
(b)
5 +
; 7
(c)
5
; (d)
2 +
; 1
(e)
3 −
; (f)
; 1
y
=
−
x
y
=
−
x
y
=
x
+
y
=
−
x
y
=
y
=
−
x
+
2
2
2
(g)
=
−
−
2
8. (a)
=
; 3
=
; 1
(b)
=
−
; 7
=
0
=
; 6
=
−
10
y
x
x
y
x
y
9.
a
b
3
10. (a)
(
−
. 1
12
)
=
.
15
(
−
1965
)
or
(
−
. 7
42
)
=
.
15
(
−
2007
)
; (b)
=
.
15
−
293
.
63
; (c) y = $8.17;
y
x
y
x
y
x
(d) $.15/year
Page 6 (Section 2.3)
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