Preparing for the Regents Examination Geometry, AK

g e
17 a _
f d
b Undefined
c a _
b
d 1
18 m 3 _
2
19 y 3
20 y 14
21 y 4
22 x 0
23 x 15
24 x 8
25 x 4
26 a m 1
b m 1
27 a–c Not collinear
28 m 4
29 15 feet
30 a m −−
1
AB _ , m
3 −−−
CD
b Not collinear
31 m −−
AB
2 _
1
_
, m
3 −−−
AD
4
_
11
, m
3 −− is undefined, m −−− 0. The
BC AD
triangle is a right triangle because −−
BC is
parallel to the x-axis and −−
CA is parallel to the
y-axis, making these sides perpendicular to
each other.
8-2 The Equation of a Line
(page 147)
1 a No
b Yes
c Yes
2 a y x 6; m 1, b 6
b y 3x 5; m 3, b 5
c y 3x; m 3, b 0
d y 2x 4; m 2, b 4
e y 2 _ x 4; m
3 2 _ , b 4
3
f y 3 _ x 3; m
2 3 _ , b 3
2
g y 3x 5; m 3, b 5
h y 1 _ x
2 9 _ ; m
2 1 _ , b
2 9 _
2
3 a x-intercept 7, y-intercept 7
b x-intercept 4, y-intercept 8
c x-intercept 3, y-intercept 6
40 Chapter 8: Slopes and Equations of Lines
d x-intercept 2, y-intercept 4
e x-intercept 0, y-intercept 0
f x-intercept 6, y-intercept 4
4 a y 2x 5
b y 1 _ x 2
2
c y 3
d y x 4
5 a y x 3
b y 2
c y 1 _ x 5
2
d y 5 _ x 3
2
e y 3 _ x 2
2
f y 3 _ x 5
5
6 a y 7 _ x 5
2
b y 2x 2
c y 5x 10
d y 3 _ x 3
2
e y 4x 13
f y 6 _ x 6
5
7 a y x 1
b y 2 _ x 2
3
c y 5
d y 2x 1
e y 2x 11
f y 1 _ x
3 1 _
3
8-3 The Slopes of Parallel
and Perpendicular Lines
(page 150)
1 (4) Line l has a negative slope.
2 (1) 5
3 a Slope parallel 9 _
7
Slope perpendicular 7 _
9
b Slope parallel 0
No slope for perpendicular line
c Slope parallel 7 _
8
Slope perpendicular 8 _
7