Respuesta :

Answer:

The distance of the line is 10.82

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The graph clearly shows the points (-5,4) (4,-2), thus the distance is:

[tex]d=\sqrt{(4-(-5))^2+(-2-4)^2}=\sqrt{9^2+(-6)^2}[/tex]

[tex]d=\sqrt{81+36}=\sqrt{117}=10.82[/tex]

The distance of the line is 10.82