Question

refer to the number line. find the coordinate of point h that is $\frac{1}{5}$ of the distance from c to f.

Explanation:

Step1: Identify coordinates of C and F

The coordinate of C is - 4 and the coordinate of F is 5.

Step2: Calculate the distance between C and F

The distance $d$ between two points $x_1$ and $x_2$ on a number - line is $d=x_2 - x_1$. So, $d = 5-(-4)=9$.

Step3: Calculate the distance from C to H

We want to find the point H that is $\frac{1}{3}$ of the distance from C to F. Let the distance from C to H be $d_{CH}$. Then $d_{CH}=\frac{1}{3}\times9 = 3$.

Step4: Find the coordinate of H

Starting from the coordinate of C (-4) and moving 3 units to the right (since we are moving from C to F), we get the coordinate of H as $-4 + 3=-1$.

Answer:

-1