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Math Help - Linear Functions

  1. #1
    Member ~berserk's Avatar
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    Linear Functions

    Write the equation of a line that contains the point (6,-2) and is parallel to the line 3x+2y=8. I'm a little confused.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ~berserk View Post
    Write the equation of a line that contains the point (6,-2) and is parallel to the line 3x+2y=8. I'm a little confused.
    two lines are parallel if they have the same slope.

    now, by the point-slope form, the equation of a line that passes through (x_1,y_1) with slope m is given by:

    y - y_1 = m(x - x_1)

    solving for y we can get it in the all famous slope-intercept form, namely y = mx + b

    Now, you have (x_1,y_1) = (6,-2) and slope m = \text{slope of the given line}

    can you continue?
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  3. #3
    Member ~berserk's Avatar
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    Thanks, I completely forgot that I did another problem earlier where a line was perpendicular instead of parallel it's just taking the neg. reciprocal of the slope for that one.
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