write a linear equation in point slope form for the line that goes through (-1, 1) and (1, -3)

Question

write a linear equation in point slope form for the line that goes through (-1, 1) and (1, -3)

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Melody 1 week 2021-09-15T00:17:34+00:00 2 Answers 0

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    0
    2021-09-15T00:18:37+00:00

    Answer:

    see explanation

    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

    Calculate m using the slope formula

    m = (y₂ – y₁ ) / (x₂ – x₁ )

    with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (1, – 3)

    m = \frac{-3-1}{1+1} = \frac{-4}{2} = – 2

    Using either of the 2 points as a point on the line, then

    Using (- 1, 1)

    y – 1 = – 2(x – (- 1)), that is

    y – 1 = – 2(x + 1) ← in point- slope form

    0
    2021-09-15T00:19:09+00:00

    Answer:

    y – 1 = -2(x + 1).

    Step-by-step explanation:

    The slope = (-3-1)/(1 – -1)

    = -4 / 2

    = -2.

    In point slope form:

    y – y1 = m(x – x1)

    Using m = -2 and the point (-1, 1):

    y – 1 = -2(x + 1).

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