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Published bySusanto Hadiman Modified over 5 years ago
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Objective: To graph horizontal and vertical lines.
Ch. 4.3 Objective: To graph horizontal and vertical lines.
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4.2 Review Graph x + y = 5 x y -2 7 y -1 6 5 1 4 2 3 3 2 4 1 5 x 6 -1
5 Line is oblique 1 4 2 3 3 2 4 1 5 x 6 -1
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Definition: Vertical Line
Vertical Line (x = a) where “a” is some number and “x” is always the value of “a”. Therefore, “y” can be any value. For example: x = 5 x y 5 1 -1 100
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Graph. x = -2 Line is Vertical x y y -2 -2 -2 -1 -2 -2 1 -2 2 x -2 3 -2 4 Any line in the form x = k will be vertical. -2 5
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Definition: Horizontal Line
Horizontal Line (y = b) Where “b” is some number and “y” is always the value of “b”. Therefore, “x” can be any value. For example: y = 3 x y 3 2 5 100
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Graph. y = 3 Line is Horizontal x y y -2 3 -1 3 3 1 3 2 3 x 3 3 4 3 Any line in the form y = k will be horizontal. 5 3
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Types of Lines Ax + By = C y = k x = k 3x - 2y = 5 y = -7 Oblique
Horizontal Vertical Equation form Ax + By = C y = k x = k Example 3x - 2y = 5 y = -7 A = 3 Universal constants k = -7 B = -2 C = 5 A, B and C are integers (no fractions or decimals). k represents a rational number.
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Review x = k y = k Horizontal Line Vertical Line Perpendicular
to y-axis. Perpendicular to x-axis.
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A) Graph x = -4 on a number line.
B) Graph x = -4 on a coordinate plane. y x
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Finding Intercepts x-intercept = where the line crosses the x-axis y-intercept = where the line crosses the y-axis Horizontal Vertical y = 2 x-int.= none x = -1 x-int.= -1 y-int.= 2 y-int.= none y y x x
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Find the x-intercept and y-intercept.
x = 5 or (5,0) none 2) none 3) x = -1 (-1,0) none
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