Question

What do the differences between the points (as shown on the graph) represent?

Answer 1

The difference between the points is $\sqrt{53}$

Explanation:

The coordinate of point B is $(2,7)$

The coordinate of point D is $(4,14)$

The difference between the points can be determined using the formula,

$d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Substituting the coordinates $(2,7)$ and $(4,14)$, in the formula, we get,

$d=\sqrt{\left(4-2\right)^{2}+\left(14-7\right)^{2}}$

Subtracting, we get,

$d=\sqrt{\left(2\right)^{2}+\left(7\right)^{2}}$

Squaring the terms, we have,

$d=\sqrt{\left4+\left49}$

Adding, we get,

$d= \sqrt{53}$

Hence, the difference between the points is $\sqrt{53}$