We need to find the length of the segment AB
with A = (2, -9)
B = (-1, 4)
So we simply use the formula for the distance between two points on the plane (based on the Pythagorean Theorem)
This formula is:
[tex]d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}[/tex]which for our case becomes:
[tex]\begin{gathered} d=\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ d=\sqrt[]{(2+1)^2+(-9-4)^2} \\ d=\sqrt[]{9+169} \\ d\approx13.34 \end{gathered}[/tex]So the length of the segment is approximately 13.34
