what is the point-slope equation of a line with slope -5 that contains the point (6, 3)

Question

what is the point-slope equation of a line with slope -5 that contains the point (6, 3)

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Verity 4 years 2021-08-10T20:32:48+00:00 2 Answers 23 views 0

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    0
    2021-08-10T20:33:56+00:00

    Answer:

    y – 3 = – 5(x – 6)

    Step-by-step explanation:

    The equation of a line in point- slope form is

    y – b = m(x – a)

    where m is the slope and (a, b) a point on the line

    Here m = – 5 and (a, b) = (6, 3) , then

    y – 3 = – 5(x – 6)

    0
    2021-08-10T20:34:44+00:00

    Given :

    • Slope = -5
    • Point = (6,3)

    To Find :

    • The point slope form of the line .

    Solution :

    As we know that the point slope form of the line is ,

    → y – y1 = m ( x – x1 )

    • where (x1 , y1) is the point
    • m is the slope .

    → y – 3 = -5( x – 6)

    Hence the required answer is y 3 = 5( x 6 ) .

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