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
[tex]d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}[/tex]
Substituting the values in the formula, we get,
[tex]d=\sqrt{(1+1)^{2}+(-4+9)^{2}}[/tex]
Adding the values,
[tex]d=\sqrt{2^{2}+5^{2}}[/tex]
Squaring the terms, we get,
[tex]d=\sqrt{4+25}[/tex]
Simplifying, we have,
[tex]d=\sqrt{29}=5.4[/tex]
Thus, the distance between the two points is 5.4
