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Math Help - perpenicular equation of line

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    perpenicular equation of line

    Write an equation of the line that passes through the point at (4,4) and is perdendicular to the line whose equation is 2x + y = 7.
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by JayJay1206 View Post
    Write an equation of the line that passes through the point at (4,4) and is perdendicular to the line whose equation is 2x + y = 7.
    we want the line perpendicular to the line 2x + y = 7, that is the line y = -2x + 7. so the slope of this line is -2. If two lines are perpendicular, then their slopes are the negative inverse of each other, therefore the line we want to find has slope = 1/2

    using m = 1/2, (x1,y1) = (4,4), we have by the point-slope form:

    y - y1 = m(x - x1)
    => y - 4 = (1/2)(x - 4)
    => y = (1/2)x - 2 + 4
    => y = (1/2)x + 2 .........this is the line passing through (4,4) perpendicular to 2x + y = 7
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    Thank you.
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by JayJay1206 View Post
    Thank you.
    did you get what i did?
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  5. #5
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    Yes I did.
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