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Math Help - Linear equations in two variables add. help

  1. #1
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    Linear equations in two variables add. help

    Two points are given from each of two lines. Without graphing the points, determine wheather the lines are parallel, perpendicular or neither.
    Line 1: (4, -6) (3, -2)
    Line 2: (3, -1) (7, 0)
    This is what I did.
    -2 - (-6) = 4
    3- 4 = -1

    0 - (-1) = -1
    7 - 3 = 4
    Would it be perpendicular?

    Write the slope-intercept form of each line. Then determine wheather the graphs of the lines are parallel, perpendicular, or neither.
    4x + 2y = 8
    2x + y = 1
    This is what I did
    4x + 2y = 8 / 2
    y = -2x + 1
    slope-intercept form: y= -2x + 4
    slope-intercept form: y= -2x + 1
    Is it parallel?
    Thanks
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by rowdy3 View Post
    Two points are given from each of two lines. Without graphing the points, determine wheather the lines are parallel, perpendicular or neither.
    Line 1: (4, -6) (3, -2)
    Line 2: (3, -1) (7, 0)
    This is what I did.
    -2 - (-6) = 4
    3- 4 = -1

    0 - (-1) = -1 ==== should be +1
    7 - 3 = 4
    Would it be perpendicular?
    Responding to your first question, you made a mistake on the slope for line 2.
    Should be 1/4. So the lines are perpendicular.
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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by rowdy3 View Post
    Write the slope-intercept form of each line. Then determine wheather the graphs of the lines are parallel, perpendicular, or neither.
    4x + 2y = 8
    2x + y = 1
    This is what I did
    4x + 2y = 8 / 2
    y = -2x + 1
    slope-intercept form: y= -2x + 4
    slope-intercept form: y= -2x + 1
    Is it parallel?
    Thanks
    You are correct. Slopes are the same (-2) so the lines are parallel
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