Final Exam Review Chapters 3 & 4.

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Presentation transcript:

Final Exam Review Chapters 3 & 4

Topics Graphing Vertical and Horizontal Lines Intercepts Slope Slope-Intercept Form

Topics Writing Equations Word Problems Standard Form

Horizontal Lines Only go through the y-axis Do not touch the x-axis The equation only has a y Example: y = 3

Vertical Lines Only go through the x-axis Do not touch the y-axis The equation only has a x Example: x = -2

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)

Find the slope between 2 points (-8, 5) and (-3, 9) m =

Graph: y = 3x – 4 m = 3 b = - 4

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

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 +12 +12 9 = b y = x + m x y -3 -2 6 -12 -2 9

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 = - 5 + b +5 +5 11 = b Write equation: y = –5x + 11

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 + 1.63

Write the equation y = 3x + 2 in Standard Form. y = 3x + 2 -3x -3x -3x + y = 2

Practice Worksheet – “Chapters 3 & 4 Review”

Homework Page 207 #2-5,10-14 Page 277 #2-8