Which of the following point-slope form equations could be produced with the points (-1, 4) and (2, -3)? y – 4 = – 3/7(x +

Question

Which of the following point-slope form equations could be produced with the points (-1, 4) and (2, -3)?

y – 4 = – 3/7(x + 1)

y + 3 = -7/3(x – 2)

y + 3 = 7/3(x – 2)

y + 4 = – 3/7(x – 1)

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Ximena 3 months 2021-10-08T15:23:53+00:00 1 Answer 0 views 0

Answers ( )

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    2021-10-08T15:25:17+00:00

    Answer:

    Option B, y + 3 = -7/3(x – 2)

    Step-by-step explanation:

    Point slope form:  (y – y1) = m(x – x1)

    Step 1:  Find the slope

    m = \frac{y2 - y1}{x2 - x1}

    m = \frac{-3 - 4}{2 - (-1)}

    m = \frac{-7}{2 + 1}

    m = \frac{-7}{3}

    Step 2:  Plug into the point slope form

    (y – 4) = -7/3(x – (-1))

    (y – 4) = -7/3(x + 1)

    OR

    (y – (-3)) = -7/3(x – 2)

    y + 3 = -7/3(x – 2)

    Answer:  Option B, y + 3 = -7/3(x – 2)

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