Question

UV has the endpoints U(0, 3) and V(–4, –5). Which shows the correct calculation for finding the x-coordinate of the point that partitions the line segment into a 4:3 ratio? x = (–4) x = (–4) x = (–5 – 3) + 3 x = (–5 – 3) – 5

Answer 1

Answer: A: X=(4/7)(-4)

Step-by-step explanation: question was on E2020

Answer 2

The end points of line segment UV is U(0, 3) and V(–4, –5).

The line segment is Partitioned by a point in the ratio of 4:3.Let that point be (x,y).

Formula for internal division

A line segment having end points
`(x_(1),y_(1)) and (x_(2),y_(2))` divided by a point (x,y) in the ratio of m:n.

`x=(m x_(2)+nx_(1))/(m+n), y=(m y_(2)+ny_(1))/(m+n)`

`x=(3* 0+4 * -(4))/(4+3)=(-16)/(7)`