Which equation represents a line that is perpendicular to the line represented by 2x-y=7?

Question

Which equation represents a line that is perpendicular to the line represented by 2x-y=7?

in progress 0
2022-04-17T19:40:25+00:00 2 Answers 0

Answers ( 2 )

  1. Cora
    0
    2022-04-17T19:41:44+00:00

    the correct question is
    Which equation represents a line that is perpendicular to the line represented by 2x – y = 7?

    A. y = -1/2x + 6
    B. y = 1/2x + 6
    C. y = -2x + 6
    D. y = 2x + 6

    we know that
    if two lines are perpendicular
    so
    the slopes
    m1*m2=-1

    we have
    2x-y=7——-> y=2x-7————> slope m1=2

    find slope m2
    m2=-1/m1——> m2=-1/2

    the slope m of the perpendicular line must to be -1/2
    so

    the answer is
    y = -1/2x + 6

  2. Eloise
    0
    2022-04-17T19:42:14+00:00

    The equation that represents a line that is perpendicular to the line is y = -1/2x + 7

    Equation of a line?

    The standard equation of a line is expressed as y = mx + b

    where:

    • m is the slope
    • b is the intercept

    The slope of the line perpendicular is M = -1/m

    Given the equastion 2x – y = 7. This can be written as:

    -y = -2x – 7

    y = 2x + 7

    The slope the perpendicular lins M is -1/2

    Hence the equation that represents a line that is perpendicular to the line is y = -1/2x + 7

    Learn more on equation of a line here: https://brainly.com/question/13763238

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