Mathematics

Question

What is the equation of the line that passes through (-9,12) and is perpendicular to the line whose equation is y=1/3x 6?

1 Answer

  • y = 1/3x ? 6....slope here is 1/3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -3 (see how I flipped 1/3 and changed the sign)

    y = mx + b
    slope(m) = -3
    (-9,12)...x = -9 and y = 12
    now we sub and find b, the y int
    12 = -3(-9) + b
    12 = 27 + b
    12 - 27 = b
    -15 = b

    so ur perpendicular equation is : y = -3x - 15
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