Question

Find the distance between the points (-1,-9) and (1,-4)

Answer 1

The distance between the two points is 5.4

Explanation:

The points are (-1,-9) and (1,-4)

The distance between the two 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 values in the formula, we get,

$d=\sqrt{(1+1)^{2}+(-4+9)^{2}}$

Adding the values,

$d=\sqrt{2^{2}+5^{2}}$

Squaring the terms, we get,

$d=\sqrt{4+25}$

Simplifying, we have,

$d=\sqrt{29}=5.4$

Thus, the distance between the two points is 5.4