Point C is located at the origin. Point Q at (-1,-2) partitions CD in a ratio of 1:6. What are the coordinates of point D?

Mathisfornerds
Jan 28, 2018

#1**+1 **

Point C is located at the origin. Point Q at (-1,-2) partitions CD in a ratio of 1:6. What are the coordinates of point D?

Think about this

QD must be 6 times the distance CQ

Let m be the x coordinate of D

So

x coordinate of Q + 6 times ( the difference in the x coordinate of Q - the x coordinate of the origin) = m

So

-1 + 6 (-1 - 0) = m

-1 + 6(-1) = m

-1 - 6 = m

-7 = m

Similarly

Let n be the y coordinate of D

So

y coordinate of Q + 6 times ( the difference in the y coordinate of Q - the y coordinate of the origin) = n

So

-2 + 6(-2 - 0) = n

-2 + 6(-2) = n

-2 - 12 = n

-14 = n

So....D = (m ,n) = (-7 , -14 )

CPhill
Jan 28, 2018