Question

refer to the number line. find the coordinate of point h that is ⅕ of the distance from c to f.

Explanation:

Step1: Identify coordinates of C and F

The coordinate of point C is - 4 and the coordinate of point 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 $d=\vert x_2 - x_1\vert$. Here, $x_1=-4$ and $x_2 = 5$, so $d=\vert5-(-4)\vert=\vert5 + 4\vert=9$.

Step3: Find $\frac{1}{5}$ of the distance

$\frac{1}{5}$ of the distance is $\frac{1}{5}\times9 = 1.8$.

Step4: Find the coordinate of point H

We start from the coordinate of C (-4) and move $\frac{1}{5}$ of the distance towards F. Let the coordinate of H be $x$. Then $x=-4 + 1.8=-2.2$.

Answer:

$-2.2$