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Final Exam Review Chapters 3 & 4
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Topics Graphing Vertical and Horizontal Lines Intercepts Slope
Slope-Intercept Form
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Topics Writing Equations Word Problems Standard Form
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Horizontal Lines Only go through the y-axis Do not touch the x-axis
The equation only has a y Example: y = 3
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Vertical Lines Only go through the x-axis Do not touch the y-axis
The equation only has a x Example: x = -2
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Graph using Intercepts: 5x + 2y = 20
x-intercept 5x + 2•0 = 20 5x = 20 x = 4 (4,0) y-intercept 5•0 + 2y = 20 2y = 20 y = 10 (0,10)
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Find the slope between 2 points
(-8, 5) and (-3, 9) m =
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Graph: y = 3x – 4 m = 3 b = - 4
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Writing Equations Write the equation of the line whose slope is -2 and whose y-intercept is 5. y = mx + b y = x + y = -2x + 5 m b -2 5
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Writing Equations Write an equation of the line that passes through (6, -3) and has a slope of -2. y = mx + b = ‧ + b -3 = + b = b y = x + m x y -3 -2 6 -12 -2 9
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Write the equation of the line that passes through the points (1,6) and (3, -4).
Slope: y-intercept: pick either point 6 = -5 ‧ 1 + b 6 = b = b Write equation: y = –5x + 11
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Word Problems Write an equation that models the situation:
An Internet service charges $1.63 for the first hour of connection. Each additional hour costs $.87. y = .87x
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Write the equation y = 3x + 2 in Standard Form.
y = 3x x -3x -3x + y = 2
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Practice Worksheet – “Chapters 3 & 4 Review”
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Homework Page 207 #2-5,10-14 Page 277 #2-8
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