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Math Help - Line equation and Slope help!

  1. #1
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    Line equation and Slope help!

    I am in Pre-Calc and I am having trouble with these two problems...

    Write an equation of a line perpendicular to 3x+2y=7 through the point (2,1).

    and

    Find the slope of the line connecting (4,-3) and (7,6).

    If anyone could help me it would be greatly appreciated.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by ClearSights View Post
    I am in Pre-Calc and I am having trouble with these two problems...

    Write an equation of a line perpendicular to 3x+2y=7 through the point (2,1).
    Hello ClearSights,

    First, find the slope of the given line. We can do this by translating the equation into slope intercept form (y=mx+b).

    y=-\frac{3}{2}x+\frac{7}{2}

    The slope of a line perpendicular to the given line will be the "negative reciprocal" of the given line; thus \frac{2}{3}

    Use this slope along with the given point (2, 1) and substitute them into the following point-slope form of a linear equation.

    y-y_1=m(x-x_1)

    Now, you can rearrange the above equation into other forms as required.
    Quote Originally Posted by ClearSights View Post
    Find the slope of the line connecting (4,-3) and (7,6).

    If anyone could help me it would be greatly appreciated.
    Use this formula for finding the slope:

    m=\frac{y_2-y_1}{x_2-x_1}
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  3. #3
    Junior Member ursa's Avatar
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    I am in Pre-Calc and I am having trouble with these two problems...

    Write an equation of a line perpendicular to 3x+2y=7 through the point (2,1).

    and

    Find the slope of the line connecting (4,-3) and (7,6).

    If anyone could help me it would be greatly appreciated.
    hi
    the line perpendicular to y=mx +c is
    y=(-1/m)x+k
    so calculate m from given equation, substitute given point and calculate k
    you will get the required equation

    to calculate slope formula is:
    slope=(y2-y1)/(x2-x1)
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  4. #4
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    Ok, Thanks alot.
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