if (1,4) and (10,-68) are two anchor points on the trend line, then find the equation of the line y=[?]x + [ ]

Question

if (1,4) and (10,-68) are two anchor points on the trend line, then find the equation of the line y=[?]x + [ ]

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Rylee 2 weeks 2021-09-10T09:59:41+00:00 1 Answer 0

Answers ( )

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    2021-09-10T10:01:39+00:00

    Answer:

    y = – 8x + 12

    Step-by-step explanation:

    The equation of a line in slope- intercept form is

    y = mx + c ( m is the slope and c the y- intercept )

    Calculate m using the slope formula

    m = (y₂ – y₁ ) / (x₂ – x₁ )

    with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (10, – 68)

    m = \frac{-68-4}{10-1} = \frac{-72}{9} = – 8, thus

    y = – 8x + c ← is the partial equation

    To find c substitute either of the 2 points into the partial equation

    Using (1, 4), then

    4 = – 8 + c ⇒ c = 4 + 8 = 12

    y = – 8x + 12 ← equation of line

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