Question

Find the coordinates of point B that lies along the directed line segment from F(1, 1) to G(7, 6) and partitions the segment into the ratio 3 to 1.

Answer 1

Explanation:

to find the x coordinate of point B, we multiply the run of the slope by 1/3 and add this to the x coordinate of F (1,1) The slope is 5/6 so the run is 6.

To find the y coordinate of point B we multiply the rise of the slope by 1/3 and then add this to the y coordinate of F (1,1). The slope is 5/6 so the rise is 5.

x coordinate of B: 6. 1/3+1= 3

y coordinate of B: 5. 1/3 +1=8/3

Answer:

3 8/3