Mathematics

Question

Line L is perpendicular to the line with equation x + 2y = 8 and passes through the origin. Determine the equation of line L.

1 Answer

  • so the slope of the other line that is perpendicular is negative and reciprocated.
    so when the line passes through the origin that means it is direct variation.
    direct variation equation y=kx
    which means the y-intercept or b is 0.
    the formula is y=mx+b
    m= slope.
    x,y are coordinates
    b is the y-intercept.
    so first reform the given equation to the formula i gave to get the slope.
    so 2y=-x+8
       y=-1/2x+8
    -1/2=m=slope.
    negative, reciprocal.
    2=m=slope of the perpendicular line.
    so the ans is y=2x
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