'Graphs Of Equations, Inequalities, And Functions' Algebra Worksheet
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4Algebra 2: Graphs of Equations, Inequalities, and Functions
Topic C 6: L inear F unctions | V ERSION B
Name: _ ___________________________________
Give t he e quation o f t he l ines w ith t he f ollowing s lopes
Give t he s lope a nd y -‐intercept f or e ach o f t he f ollowing
and y -‐intercepts.
equations, t hen s ketch t he g raph. G ive t he s lope o f a ny
line p erpendicular t o t he g iven l ine.
1.
�� = 3, �� = 5
7.
�� = �� − 1
Slope = ______________ y -‐intercept = (0, ________)
Slope of a line perpendicular: ________________
y
4
2.
�� = 0, �� =
5
5
4
3
2
1
x
1
2
3
4
5
2
1
3.
�� =
, �� = −
3
6
8.
�� + 4�� = 12
4.
Find the slope of a line ��. parallel and
Slope =_____________ y -‐intercept = (0, ______)
��. perpendicular to the line �� = −3�� + 1.
Slope of a line perpendicular: ________________
y
a.
Parallel:
b.
Perpendicular:
5
4
3
2
1
x
1
2
3
4
5
5.
Find the slope of a line ��. parallel and
��. perpendicular to the line 5�� + �� = −3.
a.
Parallel:
b.
Perpendicular:
The s lope a nd o ne p oint o n t he l ines a re g iven.
Find t he e quations o f t he f ollowing l ines ( in
slope-‐intercept f orm).
6.
Find the slope of a line ��. parallel and
9.
3, 2 ; �� = −1
��. perpendicular to the line 3�� − 5�� = 6.
a.
Parallel:
1
10. −
, −4 ; �� = −2
2
b.
Perpendicular:
1
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