Answer:
Point (1,8)
Step-by-step explanation:
We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.
When a point divides any segment internally in the ratio m:n, the formula is:
![[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2Cy%3D%20%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
Let us substitute coordinates of point P and Q as:
,




![[x=\frac{4}{4},y=\frac{32}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B4%7D%7B4%7D%2Cy%3D%5Cfrac%7B32%7D%7B4%7D%5D)
Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.
Answer: 3/2
Step-by-step explanation:
Since, two variables are called proportional if there is always a constant ratio between them.
And, The constant is called the coefficient of proportionality or proportionality constant.
Let x and y are proportional to each other.
Therefore, x ∝ y ⇒ y=kx
Where k is any constant.
For, x=2 and y=3 k= 3/2
For, x=4 and y=6, k=3/2
For x=6 and y=9, k= 3/2
Since, here the value of k is constant.
Therefore, k is the coefficient of proportionality.
And, given table is propositional.