1.  Graphing the following linear equations:
     
     a) 2y + 6x = 6    b) 12x + 4y = -4  c) y = 3  d) y = 2x + 1
     
     e) y = -½ x – 2
     
     
    2.  Identify the slope and y-intercept of the lines above.
     
     
     
    3.  Describe a relationship between the graphs of part a and part b. What do you notice about the slopes?
     
     
     
    4.  Describe a relationship between the graphs of part d and part e. What do you notice about the slopes?
     
     
     
     
    5.  Write a linear equation based on the following information:
    a) slope: -3  y-intercept: 1    b) slope: ¾  y-intercept: 0
     
     
     
    6.  Which of the three given points, if any, lie on the given line?
    a) x + y = 7      (2,5) (-2,-5) (-3,10)
    b) 2x – y = 8      (4,0) (1,-7) (-2,-12)
     
     
     

    If a line passes through the given point (x1, y1) and has a slope m, the point-slope form of the equation of the line is y – y1 = m(x – x1).
     

     
    Ex) Write an equation of a line that has a slope of –2 and passes through the point (4,2).
     
     
    Ex)Write an equation of the line with a slope of -½ and passes through the point
    (-4,-2)
     
     
    Ex) Write an equation of the line that passes through the given points (6,1) and (-4,-4)

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