Question

refer to the number line. find the coordinate of point h that is 1/3 of the distance from c to f.

Explanation:

Step1: Find the distance between C and F

The coordinate of C is - 4 and the coordinate of F is 5. The distance $d$ between two points on a number - line is given by $d=\vert x_2 - x_1\vert$. Here, $d=\vert5-(-4)\vert=\vert5 + 4\vert = 9$.

Step2: 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. So the distance from C to H is $\frac{1}{3}\times9 = 3$.

Step3: Find the coordinate of H

Since we are moving from C towards F (in the positive direction), and the coordinate of C is - 4, the coordinate of H is $-4+3=-1$.

Answer:

$-1$