Write a function in the form y=mx+b for the line that contains the points (-6.4, -2.6) and (5.2, 9)

Question

Write a function in the form y=mx+b for the line that contains the points (-6.4, -2.6) and (5.2, 9)

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Calantha 2 weeks 2021-07-21T21:35:28+00:00 1 Answers 1 views 0

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    2021-07-21T21:37:16+00:00

    First solve for the slope, m using the two points given. It doesn’t matter which point you choose as point 1 or 2 as long as you’re consistent.

    m = (y2 – y1)/(x2 – x1)

    point 1: (–6.4, –2.6)

    point 2: (5.2, 9)

    m = (9 – -2.6)/(5.2 – -6.4)
    m = (9 + 2.6)/(5.2 + 6.4)
    m = 11.6/11.6
    m = 1

    put the newly found slope into the linear equation for m

    y = (1)x + b
    y = x + b

    Now solve for the y-intercept, b
    by putting one of the given points

    9 = 5.2 + b

    b = 9 – 5.2
    b = 3.8

    final equation:

    y = x + 3.8

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