Unit 3 - Graphic Organizer Worksheet
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1
2Unit 3 – Graphic Organizer - FRONT
EXAMPLE: The line has a slope of –½
EXAMPLE: The line passes through the
and passes through the point (2, 7).
points (2, 5) and (3, 0).
y = mx + b
��
− ��
0 − 5
−5
2
1
7 = (-½)(2) + b
�� =
=
=
��
− ��
3 − 2
1
7 = -1 + b
2
1
y = -5x + b
8 = b
5 = -5(2) + b
5 = -10 + b
Slope Intercept Form: y = - ½x + 8
15 = b
y = - ½x + 8
Slope Intercept Form: y = -5x + 15
½x + y = 8
Standard Form: 5x + y = 15
x + 2y = 16
Standard Form: x + 2y = 16
YOUR TURN: The line passes through
the points (2, 7) and (-1, -2)
YOUR TURN: The line has a slope of 3
and passes through the point (-2, -5).
Slope Intercept Form: ____________
Slope Intercept Form: ____________
Standard Form: _________________
Standard Form: _________________
EXAMPLE: The line is parallel to the line
EXAMPLE: The line is perpendicular to
y = -¼x + 2000 and passes through the
y = 2x + 10 and passes through the point
point (8, 3).
(6, -4).
Parallel
y = -¼x + b
Perpendicular lines have opposite
Lines
3 = -¼(8) + b
reciprocal slopes! Old Slope = 2;
Have
3 = -2 + b
New Slope = -½.
Equal Slopes!
5 = b
y = -½x + b
Slope Intercept Form: y = -¼x + 5
-4 = -½(6) + b
y = -¼x + 5
-4 = -3 + b
¼x + y = 5
-1 = b
x + 4y = 20
Slope Intercept Form: y = -½x - 1
Standard Form: x + 4y = 20
Standard Form: x + 2y = -2
YOUR TURN: The line is parallel to
y = -2x + 10000 and passes through the
YOUR TURN: The line is perpendicular
point (5, -3).
to y = -3x + 900 and passes through the
point (-6, 1).
Slope Intercept Form: ____________
Slope Intercept Form: ____________
Standard Form: _________________
Standard Form: _________________
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