Question

Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two over three the distance from point P to point R.

Answer 1

`y_Q=(21)/(5)=4.2`

Explanation:

If the point Q that is located two over three the distance from point P to point R, then PQ:QR=2:3.

Use formula to find the coordinates of the point Q:

`x_Q=(3x_P+2x_R)/(3+2)\\ \\y_Q=(3y_P+2y_R)/(3+2)`

In your case, P(-2,7) and R(1,0), then

`x_Q=(3\cdot (-2)+2\cdot 1)/(3+2)=(-4)/(5)\\ \\y_Q=(3\cdot 7+2\cdot 0)/(3+2)=(21)/(5)`