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

Solution:

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.  

$x=\frac{m x_{2}+nx_{1}}{m+n}, y=\frac{m y_{2}+ny_{1}}{m+n}$

$x=\frac{3\times 0+4 \times -(4)}{4+3}=\frac{-16}{7}$

Answer 2

Answer: A:   X=(4/7)(-4)

Step-by-step explanation: question was on E2020