Question

refer to the number line. find the coordinate of point k that is $\frac{4}{5}$ of the distance from a to f.

Explanation:

Step1: Find the distance between A and F

The coordinate of A is -7 and the coordinate of F is 5. The distance $d$ between A and F is $d=5 - (-7)=12$.

Step2: Calculate the distance from A to K

The distance from A to K is $\frac{4}{5}$ of the distance from A to F. So the distance from A to K is $\frac{4}{5}\times12 = 9.6$.

Step3: Find the coordinate of K

Let the coordinate of K be $x$. We know that $x-(-7)=9.6$. Then $x=9.6 - 7=2.6$.

Answer:

$2.6$