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Math Help - need help for figuring out equation

  1. #1
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    need help for figuring out equation

    Hello, this is the question: Two perpendicular lines intersect on the x-axis. One line has equation y=-1/2x +1. What is the equation of the other line.
    This is what i got to so far:
    slope of -1/2 reciprocalled is just 2, so we got y = 2x + b
    Then this is where i don't know where to go.
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  2. #2
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    Hello, simplekin!

    You're almost there . . .


    Two perpendicular lines intersect on the x-axis.
    One line has equation: y \:=\:-\frac{1}{2}x +1
    What is the equation of the other line?

    This is what i got to so far:
    Slope of -1/2 reciprocated is just 2 . . . so we got: y = 2x + b
    Then this is where i don't know where to go.

    The line, y \:=\:-\frac{1}{2}x + 1 has an x-intercept of 2.
    . . Hence, the two lines intersect at (2,0).

    You found that the other line has a slope of 2.


    Can you write the equation of the line through (2,0) with slope 2 ?

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