Question

Point S is on YB. YS:SB=4:1, Y(-10,6) and B(10,1). Find coordinates for point S

Answer 1

Answer:

The correct option will be:  D. (6, 2)

Step-by-step explanation:

Point $S$ divides the line segment $YB$ in a ratio of $4:1$

Given that, $Y(-10, 6)$ and $B(10, 1)$

If a point $(x,y)$ divides a line segment with endpoints as $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ in a ratio of $m:n$ , then...........

$(x, y)= (\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})$

Here,  $(x_{1}, y_{1})=(-10,6)$ and $(x_{2}, y_{2})=(10,1)$

Also,  $m:n=4:1$

Now plugging the values, we will get........

$x=\frac{4(10)+1(-10)}{4+1}= \frac{40-10}{5}= \frac{30}{5}=6 \\ \\ \\ y=\frac{4(1)+1(6)}{4+1}= \frac{4+6}{5}= \frac{10}{5}=2$

So, the coordinates for point S will be:  (6, 2)