Find the equation of line AD

Mathematics

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Step-by-step solution

3 steps

To find the equation of line AD, you need the coordinates of points A and D.

Let's assume the coordinates of point A are (x1,y1)(x_1, y_1) and the coordinates of point D are (x2,y2)(x_2, y_2).

  1. Calculate the slope (m)

    The slope of the line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by:

    m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}
  2. Use the point-slope form

    Once you have the slope mm, you can use the point-slope form of a linear equation:

    y−y1=m(x−x1)y - y_1 = m(x - x_1)

    You can use either point A or point D for (x1,y1)(x_1, y_1) in this step.

  3. Convert to slope-intercept form (optional)

    To express the equation in the common slope-intercept form (y=mx+by = mx + b), rearrange the equation from Step 2:

    y=mx−mx1+y1y = mx - mx_1 + y_1 y=mx+(y1−mx1)y = mx + (y_1 - mx_1)

    Here, b=y1−mx1b = y_1 - mx_1 is the y-intercept.

    Without the specific coordinates for points A and D, a numerical equation cannot be provided.

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