MATH SOLVE

7 months ago

Q:
# What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3?β6β557

Accepted Solution

A:

Answer:C. 5Step-by-step explanation:We will use section formula when some point divides segment any initially in the ratio m:n. Β [tex][x=\frac{m*x_2+n*x_1}{m+n},y=\frac{m*y_2+n*y_1}{m+n}][/tex]Let us substitute coordinates of our given points and m=2 and n=3 in section formula.[tex][x=\frac{2*(-8)+3*(-3)}{2+3},y=\frac{2*(11)+3*(1)}{2+3}][/tex][tex][x=\frac{-16-9}{5},y=\frac{22+3}{5}][/tex][tex][x=\frac{-25}{5},y=\frac{25}{5}][/tex][tex][x=-5,y=5][/tex]We can see that the point (-5, 5) divides the directed line segment from J to K into a ratio of 2:3. Therefore, y-coordinate of the point is 5 and potion C is the correct choice.