A line is perpendicular to y=-2x+5 and intersects the point (-4,2) what is the equation of this perpendicular line

Question

A line is perpendicular to y=-2x+5 and intersects the point (-4,2) what is the equation of this perpendicular line

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Calantha 5 years 2021-07-24T00:21:17+00:00 1 Answers 22 views 0

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    2021-07-24T00:22:27+00:00

    Answer:

    2y – x = 8  

    Step-by-step explanation:

    First get the slope of the line given

    y=-2x+5

    From the line, slope m = -2

    The slope of the required line M = -1/-2 = 1/2

    Substitute the point (-4, 2) and m = 1/2 into the point slope equation;

    y – y0 = m(x-x0)

    y – 2 = 1/2(x+4)

    2(y-2) = x+ 4

    2y – 4  = x+4

    2y – x = 4+4

    2y – x = 8

    Hence the equation of this perpendicular line is 2y – x = 8  

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