What is the slope of a line that is perpendicular to the line y = –1/4 x + 5

Question

What is the slope of a line that is perpendicular to the line y = –1/4 x + 5

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Yến Oanh 2 weeks 2021-08-29T19:38:22+00:00 2 Answers 0 views 0

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    0
    2021-08-29T19:40:10+00:00

    Answer:

    slope = 4

    Step-by-step explanation:

    The equation of a line in slope- intercept form is

    y = mx + c ( m is the slope and c the y- intercept )

    y = – \frac{1}{4} x + 5 ← is in slope- intercept form

    with slope m = – \frac{1}{4}

    Given a line with slope m then the slope of a line perpendicular to it is

    m_{perpendicular} = – \frac{1}{m} = – \frac{1}{-\frac{1}{4} } = 4

    0
    2021-08-29T19:40:17+00:00

    Answer:

    4

    Step-by-step explanation:

    To find the slope of a line that is perpendicular to another line simply flip the slope ( so if it is 1/3 flip it to 3 or if it’s 3 flip it to 1/3) and change the sign ( so if it’s positive change it to negative vise versa )

    The equation we are given has a slope of -1/4

    So flip the fraction ( we would get -4)

    And change the sign ( we would get 4)

    So the slope of a line that is perpendicular to y = -1/4x + 5 is 4

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