find the equation of the straight line passing through the point (0,2) which is perpendicular to line y=1/4x+5

Question

find the equation of the straight line passing through the point (0,2) which is perpendicular to line y=1/4x+5

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Edana Edana 6 months 2021-07-29T20:22:23+00:00 1 Answers 0 views 0

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  1. Calantha
    0
    2021-07-29T20:23:46+00:00
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    Answer:

    y = -4x + 2

    Step-by-step explanation:

    Given the following data;

    Points (x1, y1) = (0, 2)

    Perpendicular line = y = ¼x + 5

    To find the equation of the straight line passing;

    Mathematically, the equation of a straight line is given by the formula: y = mx + c

    Where;

    • m is the slope.
    • x and y are the points
    • c is the intercept.

    From the question, we can deduce that the slope (m) of the perpendicular line is ¼.

    y = ¼x + 5 = mx + c

    Since the points are perpendicular to the equation of line, it must have a slope that is its negative reciprocal because the slopes of perpendicular lines are negative reciprocals of each other.

    Therefore, ¼ = -4

    Next, we would write the equation of the straight line using the following formula;

    y – y1 = m(x – x1)

    Substituting into the formula, we have;

    y – 2 = -4(x – 0)

    y – 2 = -4x – 0

    y – 2 = -4x

    y = -4x + 2

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )