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

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 divisionA line segment having end points [tex](x_{1},y_{1}) and (x_{2},y_{2})[/tex] divided by a point (x,y) in the ratio of m:n.  [tex]x=\frac{m x_{2}+nx_{1}}{m+n}, y=\frac{m y_{2}+ny_{1}}{m+n}[/tex][tex]x=\frac{3\times 0+4 \times -(4)}{4+3}=\frac{-16}{7}[/tex]