what is the slope of a line that is perpendicular to the line whose equation is 3x+5y=4?

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what is the slope of a line that is perpendicular to the line whose equation is 3x+5y=4?

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Thông Đạt 5 months 2021-08-10T20:02:19+00:00 1 Answers 4 views 0

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    2021-08-10T20:04:02+00:00

    Answer:

    5/3 or 1.67

    Step-by-step explanation:

    Find the slope of the original line

    3x+5y=4                Subtract 3x from both sides

    5y = – 3x + 4           Divide both sides by 5

    y = (-3/5)x + 4

    The original line has a slope of – 3/5 or – 0.6

    Find the slope of the perpendicular line

    m1 * m2 = – 1

    m1 = – 3/5

    m2 = -1/(-3/5)

    m2 = 5/3

    The slope of the perpendicular line is

    5/3 or 1.67

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