Question

THIS IS A GEOMETRY QUESTION IFind the coordinates of the point 1/6 of the way from U to V closer to U(-3,7) than V (9,1)

Answer 1

start by obtaing the ratio usind the formula

$r=\frac{\bar{P_1P}}{\bar{PP_2}}=\frac{\frac{1}{6}}{\frac{5}{6}}=\frac{1}{5}$

After having the ratio use the formula

$(x,y)=(\frac{x_1+rx_2}{1+r},\frac{y_1+ry_2}{1+r})$

replace in the formula tking into account that the coordinates that refers to point 1 is the closer point

$(x,y)=(\frac{x_1+rx_2}{1+r},\frac{y_1+ry_2}{1+r})$