Question

the coordinate of point x on $overline{pq}$ that is $\frac{3}{4}$ of the distance from p to q is

Explanation:

Step1: Find the distance between P and Q

The coordinate of P is - 5 and the coordinate of Q is 7. The distance $d=7 - (-5)=12$.

Step2: Calculate the distance from P to X

The point X is $\frac{3}{4}$ of the distance from P to Q. So the distance from P to X is $\frac{3}{4}\times12 = 9$.

Step3: Find the coordinate of X

Starting from the coordinate of P (-5), we add the distance from P to X. The coordinate of X is $-5+9 = 4$.

Answer:

4