Question

1. the coordinate of point x on pq that is 3/4 of the distance from p to q is

Explanation:

Step1: Identify the coordinates of P and Q

Let the coordinate of P be $p=- 5$ and the coordinate of Q be $q = 7$.

Step2: Use the section - formula for a one - dimensional line

The formula to find the point $x$ that is $\frac{m}{n}$ of the distance from $p$ to $q$ is $x=p+\frac{m}{n}(q - p)$. Here, $\frac{m}{n}=\frac{3}{4}$.
\[

$$\begin{align*} x&=-5+\frac{3}{4}(7-(- 5))\\ &=-5+\frac{3}{4}(7 + 5)\\ &=-5+\frac{3}{4}\times12\\ &=-5 + 9\\ &=4 \end{align*}$$

\]

Answer:

4