Suppose line segment XY has one endpoint at X(0,0). Question 1- Is (3,4) is the midpoint of line segment XY, what are the coordinates of point y?

Question 2- What are the coordinates of Y if (3,4) is 1/3 of the way from X to Y?

1) The coordinates of point Y are , 2) The coordinates of point Y are .

Step-by-step explanation:

1) We know that and , being the latter one the midpoint of line segment XY. Vectorially, the location of point Y is determined by the following expression:

Now we solve the expression above:

The coordinates of point Y are .

2) We know that and , being the latter one a third of the way of line segment XY.

Vectorially, the location of point Y is determined by the following expression:

Now we solve the expression above:

The coordinates of point Y are .

d

step-by-step explanation:

d