Regents Exam Questions G.G.65: Parallel and Perpendicular Lines 2
Page 1
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Name: __________________________________
G.G.65: Parallel and Perpendicular Lines: Find the equation of a line, given a point
on the line and the equation of a line parallel to the desired line
1 Line m and point P are shown in the graph below.
Which equation represents the line passing through P and parallel to line m?
2 What is the equation of a line passing through
the equation
?
and parallel to the line represented by
3 What is an equation of the line that passes through the point
line whose equation is
and is parallel to the
?
4 Which equation represents a line that is parallel to the line whose equation is
and passes through the point
?
5 What is an equation of the line that passes through the point
whose equation is
and is parallel to the line
?
6 What is an equation of the line that passes through the point
line whose equation is
?
7 Line passes through the point
An equation of line is
and is parallel to the
and is parallel to line k whose equation is
8 Which line is parallel to the line whose equation is
point
?
.
and also passes through the
Regents Exam Questions G.G.65: Parallel and Perpendicular Lines 2
Page 2
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Name: __________________________________
9 What is the equation of a line that passes through the point
line whose equation is
?
and is parallel to the
10 What is an equation of the line that passes through the point
?
and is parallel to the line
11 Which equation represents the line parallel to the line whose equation is
passing through the point
?
12 An equation of the line that passes through
and
and is parallel to the line
13 What is the equation of a line passing through the point
equation is
?
14 What is the equation of a line passing through the point
whose equation is
?
and parallel to the line whose
and parallel to the line
15 Write an equation of a line that is parallel to the line whose equation is
passes through the point
.
16 Find an equation of the line passing through the point
equation is
.
17 Write an equation of the line that passes through the point
whose equation is
.
is
and that
and parallel to the line whose
and is parallel to the line
Regents Exam Questions G.G.65: Parallel and Perpendicular Lines 2
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1 ANS:
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2 ANS:
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3 ANS:
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4 ANS:
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5 ANS:
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6 ANS:
Regents Exam Questions G.G.65: Parallel and Perpendicular Lines 2
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REF: 081509ge
7 ANS:
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8 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
9 ANS:
REF: fall0812ge
10 ANS:
The slope of a line in standard form is
have a slope of
REF: 081010ge
11 ANS:
REF: 081112ge
12 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 G.G.65: Parallel and Perpendicular Lines 2
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.
REF: 061226ge
13 ANS:
.
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14 ANS:
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15 ANS:
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16 ANS:
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17 ANS:
REF: 080931ge