Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 4
Page 1
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Name: __________________________________
CC.G.GPE.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve
geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that
passes through a given point).
1 Line m and point P are shown in the graph
below.
3 What is the equation of a line passing through
and parallel to the line represented by the
equation
?
4 What is an equation of the line that passes
through the point
and is parallel to the
line whose equation is
?
5 Which equation represents a line that is parallel
Which equation represents the line passing
through P and parallel to line m?
2 Given
shown below, with
and
, what is an equation of the line that
passes through point
and is parallel to
?
to the line whose equation is
passes through the point
and
?
6 What is an equation of the line that passes
through the point
and is parallel to the line
whose equation is
?
7 What is an equation of the line that passes
through the point
and is parallel to the
line whose equation is
?
8 Line passes through the point
and is
parallel to line k whose equation is
.
An equation of line is
Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 4
Page 2
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Name: __________________________________
9 Which line is parallel to the line whose
equation is
and also passes through
the point
?
15 What is the equation of a line passing through
the point
and parallel to the line whose
equation is
?
10 What is the equation of a line that passes
through the point
and is parallel to the
line whose equation is
?
16 Which equation represents a line that passes
through the point
and is parallel to the
line whose equation is
?
11 What is an equation of the line that passes
through the point
and is parallel to the line
?
17 Write an equation of a line that is parallel to the
line whose equation is
and that passes
through the point
.
12 Which equation represents the line parallel to
the line whose equation is
and
passing through the point
?
18 Find an equation of the line passing through the
point
and parallel to the line whose
equation is
.
13 What is the equation of a line passing through
the point
and parallel to the line whose
equation is
?
19 Write an equation of the line that passes
through the point
and is parallel to the
line whose equation is
.
14 An equation of the line that passes through
and is parallel to the line
is
Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 4
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1 ANS:
REF: 081421ge
2 ANS:
REF: 081510geo
3 ANS:
REF: 011224ge
4 ANS:
REF: 011114ge
5 ANS:
REF: 081217ge
6 ANS:
Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 4
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REF: 061528ge
7 ANS:
REF: 081509ge
8 ANS:
REF: 011410ge
9 ANS:
The slope of a line in standard form is
a slope of
, so the slope of this line is
. A parallel line would also have
. Since the answers are in standard form, use the point-slope formula.
REF: 061123ge
10 ANS:
The slope of a line in standard form is
, so the slope of this line is
. A parallel line would also
have a slope of 2. Since the answers are in slope intercept form, find the y-intercept:
REF: fall0812ge
11 ANS:
Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 4
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The slope of a line in standard form is
have a slope of
REF: 081010ge
12 ANS:
REF: 081112ge
13 ANS:
.
REF: 061316ge
14 ANS:
.
REF: 061226ge
15 ANS:
, so the slope of this line is
. A parallel line would also
. Since the answers are in slope intercept form, find the y-intercept:
Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 4
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REF: 061420ge
16 ANS:
REF: 011620ge
17 ANS:
REF: 011532ge
18 ANS:
. The slope of
is
.
is
.
REF: 060931ge
19 ANS:
. The slope of
REF: 080931ge
.