Question

Refer to the number line. Find the coordinate of point H that is 1/5 of the distance from C to F.
A B C
DEF
-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7

Answer 1

Number lines are used to represent numbers on a line at regular intervals. The coordinate of point H is -2.2

From the number line, we have:

$C = -4$

$F = 5$

First, we calculate the distance between C and F using absolute functions

$CF = |C - F|$

$CF = |-4- 5|$

$CF = |-9|$

Remove absolute bracket

$CF = 9$

Point H is $\frac 15$ of the distance so, we have:

$H = \frac 15 CF$

$H = \frac 15 \times 9$

$H = 1.8$

This means that point H is 1.8 from the right of C.

So, the coordinate of H is:

$H = C + 1.8$

$H = -4 + 1.8$

$H = -2.2$

Hence, the coordinate of point H is -2.2

Read more about number lines at:

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