What is an equation of the line that passes through the points (-6, 5) and (6, -7)

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What is an equation of the line that passes through the points (-6, 5) and (6, -7)

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Thu Cúc 4 years 2021-08-22T04:46:20+00:00 1 Answers 13 views 0

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    2021-08-22T04:47:49+00:00

    Equation of a line is y=mx+c
    m is the gradient and c is the y intercept

    gradient = change in y / change in x
    so it would be -7-5 divided by 6 – -6 = -12/12 = -1

    the equation is now y = -x+c

    now to find the y intercept you substitute one of the given coordinates into the equation we already have
    (6,-7) —> -7= -(-7) + c
    = -7 = 7 + c
    = c = -14

    we put that back into the equation to get line
    y = -x – 14

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