Chapter 11.4, Problem 49STP

To determine

What is the coordinate of point $P$ ?

Answer to Problem 49STP

Option $\boxed{H\left(0\right)}$ is correct.

Explanation of Solution

Given information:

On a number line, point $X$ has coordinate $-8$ and $Y$ has coordinate $4$ . Point $P$ is $\frac{2}{3}$ of the way from $X$ to $Y$ . What is the coordinate of $P$ .

  $F\left(-4\right)$$H\left(0\right)$

  $G\left(-2\right)$$J\left(2\right)$

Calculation:

Consider $X$ has coordinate $-8$ and $Y$ has coordinate $4$ now take point $P$ which is $\frac{2}{3}$ the way from $X$ to $Y$ .

Distance between $X$ to $Y$ .

  $4-\left(-8\right)=12$

Now $\frac{2}{3}$ of $12$ is,

  $\frac{2}{3}\times 12=8$

So, point $P$ is $8$ unit from point $X$ now coordinate of point $P$ is,

  $8-8=0$

Coordinate of point $P$ is $\boxed{0}$ .

Hence, correct option is $\boxed{H\left(0\right)}$