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Ch6.3_PointSlopeForm.notebook             December 05, 2011



                What is the equation of
                the line shown below?
                                  y = mx + b

                                A) y = ­5x ­ 5
                                B) y = 3x ­ 5
                                C) y = 5x + 5
                                D) y = ­3x ­ 5
Ch6.3_PointSlopeForm.notebook   December 05, 2011




              Chapter 6.3
              Point ­ Slope Form
Ch6.3_PointSlopeForm.notebook                  December 05, 2011




          Write the equation of the following
          lines in slope­intercept form
       m = ­3, b = 6            m = 0, b = 2




                                m = 2
                                Passes through (3,4)
Ch6.3_PointSlopeForm.notebook                              December 05, 2011




                  Point ­ Slope Form
                 only needs slope and a point
                 to write the equation of the line
                                Slope: m 
                                Point: (x1 , y1)

               y ­ y1 = m(x ­ x1)
             Example
                 Write the EQ of a line with slope = ­4 
                 that goes through (1.5 , ­3)
                   Point:
                  Slope:

                Write the EQ of a line with slope = .5 
                that goes through (­2 , 0)
                  Point:
                 Slope:

                Write the EQ of a line 
                that goes through (­1 , 3) and (0 , 4)
                 Point:
                 Slope:
Ch6.3_PointSlopeForm.notebook                  December 05, 2011



                  y ­ y1 = m(x ­ x1)
                Write the EQ of a line
                parallel to y ­ 2x = 3
                that goes through (1 , 2)




                Write the EQ of a line
                perpendicular to 4x + 2y = 6
                that goes through (2, ­7)




                Write the following equation
                in slope­intercept form.
                y + 2 = 5(x ­ 3)
Ch6.3_PointSlopeForm.notebook               December 05, 2011




                        RECAP
      Slope­Intercept Form         y = mx + b

     Point ­ Slope Form         y ­ y1 = m(x ­ x1)



                        Page 256
                        #3 ­ 20

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Ch6.3 Point-Slope Form

  • 1. Ch6.3_PointSlopeForm.notebook December 05, 2011 What is the equation of the line shown below? y = mx + b A) y = ­5x ­ 5 B) y = 3x ­ 5 C) y = 5x + 5 D) y = ­3x ­ 5
  • 2. Ch6.3_PointSlopeForm.notebook December 05, 2011 Chapter 6.3 Point ­ Slope Form
  • 3. Ch6.3_PointSlopeForm.notebook December 05, 2011 Write the equation of the following lines in slope­intercept form m = ­3, b = 6 m = 0, b = 2 m = 2 Passes through (3,4)
  • 4. Ch6.3_PointSlopeForm.notebook December 05, 2011 Point ­ Slope Form only needs slope and a point to write the equation of the line Slope: m  Point: (x1 , y1) y ­ y1 = m(x ­ x1) Example Write the EQ of a line with slope = ­4  that goes through (1.5 , ­3)   Point: Slope: Write the EQ of a line with slope = .5  that goes through (­2 , 0)   Point: Slope: Write the EQ of a line  that goes through (­1 , 3) and (0 , 4)  Point: Slope:
  • 5. Ch6.3_PointSlopeForm.notebook December 05, 2011 y ­ y1 = m(x ­ x1) Write the EQ of a line parallel to y ­ 2x = 3 that goes through (1 , 2) Write the EQ of a line perpendicular to 4x + 2y = 6 that goes through (2, ­7) Write the following equation in slope­intercept form. y + 2 = 5(x ­ 3)
  • 6. Ch6.3_PointSlopeForm.notebook December 05, 2011 RECAP Slope­Intercept Form y = mx + b Point ­ Slope Form y ­ y1 = m(x ­ x1) Page 256 #3 ­ 20