Respuesta :

Answer:

D. [tex]\sqrt{37}[/tex]

Step-by-step explanation:

From the line, we can draw another line that is 6 grids to the right and one grid up from the lowest point of the line to form a right-angled triangle. The  blue line will then become the hypotenuse of the triangle. By applying the Pythagorean theorem:

Length of line [tex]= \sqrt{6^2+1^2}[/tex]

[tex]=\sqrt{37}[/tex]

∴ D is the correct option

Hope this helps :)