Question

In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC Is vertical and line segment CD is horizontal, what are the coordinates of point C?

Answer 1

(2, -1)

Explanation:

First off, we need to find the coordinates of D. We do this by applying the partitioning formula. It is (m/m+n)(x2-x1) +x1 for x and (m/m+n)(y2-y1)+y1 for y. The value of m is 5 and n is 3. You would need to input the valuables in. This will create (5/8)(10-2)+2 for x and (5/8)(2-(-6))-6 for y. In the end, we will have 7 for x and -1 for y. To find c we just need to find what coordinates follow the x axis and for what y. We see that C follows the x coordinates of point A and y coordinates follow point D.