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8 January, 12:27

What is the equation of the line through (2,-4) and (0,4)

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Answers (2)
  1. 8 January, 12:37
    0
    The equation of the line is y=4x+4
  2. 8 January, 12:53
    0
    Before we solve this question, recall the equation of a line, 'y = mx + b' In this, 'm' represents slope and 'b' represents y-intercept.

    Let's start with the slope first. In order to solve for the slope, we have to use the equation (y2 - y1) / (x2 - x1)

    Input the values:

    m = (4 - (-4)) / (0 - 2)

    m = 8/-2

    m = - 4

    Now we have the first bit of the equation:

    y = - 4x + b

    In y-intercepts, the coordinates always have x as 0. Knowing this, we know that (0, 4) is the y-intercept of the line.

    Input this into the equation:

    y = - 4x + 4

    -T. B.
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