Write the equation of the line that passes through the points (4,1) and (-6,9). Put your answer in fully reduced point-slope form, unless it

Question

Write the equation of the line that passes through the points (4,1) and (-6,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

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Neala 4 years 2021-08-23T04:00:31+00:00 2 Answers 149 views 0

Answers ( )

  1. thienan
    0
    2021-08-23T04:02:11+00:00
    Reply

    Answer:

    Find the slope:

    • m = \frac{y2-y1}{x2-x1} = \frac{9 - 1}{-6 - 4} = -\frac{8}{10} = -\frac{4}{5}

    Use point-slope form and one of the points:

    • y – y₁ = m(x – x₁)
    • y - 1 = -\frac{4}{5}(x - 4)
  2. MichaelMet
    0
    2021-08-23T04:02:26+00:00
    Reply

    STANDARD FORM:

    y = mx + b, where m is slope and b is y-intercept.

    ANSWER:

    First we will find the slope and then y-intercept.

    slope(m) = y2 – y1/x2 – x1

    • 9 – 1/- 6 – 4
    • – 8/10
    • – 4/5.

    Now, 1 = – 4/5 × 4 + b

    1 = – 16/5 + b

    b = 1 + 16/5

    b = 5 + 16/5

    b = 21/5.

    So, equation becomes

    • y = – 4/5x + 21/5.

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