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14209an1.1-4

# 14209an1.1-4 - c Kendra Kilmer Section 1.2 Graphs and Lines...

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c Kendra Kilmer January 19, 2009 Section 1.2 - Graphs and Lines Example 1: Questions we’d like to answer: 1. What is the slope of the line? 2. What is the equation of the line? 3. What is the y -intercept? 4. What is the x -intercept? Definition: If ( x 1 , y 1 ) and ( x 2 , y 2 ) are two distinct points on a line L , then the slope ( m ) of L is (i.e. the rate of change of y with respect to x ) Answer to Question 1: 1

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c Kendra Kilmer January 19, 2009 Definition: (Point-Slope Form) The equation of the line that passes through the point ( x 1 , y 1 ) and has slope m is given by: Definition: (Slope-Intercept Form) The equation of the line that has slope m and intersects the y -axis at the point ( 0 , b ) is given by: Definition: The equation of the horizontal line that passes through the point ( a , b ) is Definition: The equation of the vertical line that passes through the point ( a , b ) is Answer to Question 2: Answer to Question 3: Answer to Question 4: 2
c Kendra Kilmer January 19, 2009 Example 2: Write an equation for each line described. a) The line passing through ( 2 , 3 ) and ( - 3 , 7 ) . b) The line passing through ( - 2 , 3 ) that has an undefined slope. c) The line having an

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14209an1.1-4 - c Kendra Kilmer Section 1.2 Graphs and Lines...

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