Question

On a number line, A is at 5 and B is at 50. Point X is the midpoint. Point T is 2/3 of the way from X to B. Determine the coordinate of point T.

Answer 1

Number lines are used to represent points at regular interval.

The coordinate of point T on the number line is: 46.5

Given that:

$A =5$

$B = 50$

The coordinate of X at the midpoint is:

$X = \frac{B + A}{2}$

So, we have:

$X = \frac{50+5}{2}$

$X = \frac{55}{2}$

$X = 27.5$

Point T is at 2/3 from X to B.

The coordinate of T is calculated using:

$T = X + \frac 23 (B - X + 1)$

So, we have:

$T = 27.5 + \frac 23 (55 - 27.5 + 1)$

$T = 27.5 + \frac 23 (28.5)$

$T = 27.5 + 19$

$T = 46.5$

Hence, T is located at 46.5

Read more about number lines at:

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