Partitioning a Line Segment

The video tutorial explains how to find the coordinates of a point R on a directed line segment PQ that partitions the segment in a 1:2 ratio. It begins by identifying the given points P and Q and the ratio, then sets up the formula using these values. The tutorial walks through the calculation of the x and y coordinates separately, applying the formula and order of operations. Finally, it concludes with the solution, providing the coordinates of point R as (1, 2).

What are the coordinates of point P?

• (7, -2)

• (-2, 4)

• (4, -2)

• (-2, 7)

What is the ratio given for partitioning the line segment PQ?

• 3:1

• 1:2

• 1:3

• 2:1

What are the coordinates of point Q?

• (-2, 7)

• (7, -2)

• (-2, 4)

• (4, -2)

What is the formula used to find the x-coordinate of point R?

• (a+b)/a * (y2 - y1) + y1

• a/(a+b) * (x2 - x1) + x1

• a/(a+b) * (y2 - y1) + y1

• (a+b)/a * (x2 - x1) + x1

What is the value of x2 in the given problem?

• 4

• -7

• -2

• 7

What is the x-coordinate of point R after solving the equation?

• 1

• 2

• 3

• 4

What is the formula used to find the y-coordinate of point R?

• a/(a+b) * (y2 - y1) + y1

• (a+b)/a * (x2 - x1) + x1

• a/(a+b) * (x2 - x1) + x1

• (a+b)/a * (y2 - y1) + y1

What is the value of y1 in the given problem?

• -2

• -7

• 4

• 7

What are the final coordinates of point R?

• (3, 2)

• (2, 3)

• (2, 1)

• (1, 2)