What is the equation in point-slope form of the line that passes through the point (-5, 6) and has a slope of 2/3

Question

What is the equation in point-slope form of the line that passes through the point (-5, 6) and has a slope of 2/3

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Khoii Minh 2 months 2021-07-22T20:05:18+00:00 1 Answers 0 views 0

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    2021-07-22T20:06:32+00:00

    Answer:

            y – 6 = ²/₃(x + 5)

    Step-by-step explanation:

    The point-slope form of the equation of a line: y – y₁ = m(x – x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

    m = ²/₃

    (-5, 6)    ⇒    x₁ = -5,  y₁ = 6

    So the point-slope form of the equation:

                                                                       y – 6 = ²/₃(x – (-5))      

                                                               or:    y – 6 = ²/₃(x + 5)

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