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Answer :

The end points of the line are (-5,1) and (4,0).

The formula for the distance between two points (x_1,y_1) and (x_2,y_2) is,

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

Susbtitute the values in the formula to obtain the distance of the line.

[tex]\begin{gathered} d=\sqrt[]{(4-(-5))^2+(0-1)^2} \\ =\sqrt[]{(4+5)^2+(-1)^2} \\ =\sqrt[]{(9)^2+(-1)^2} \\ =\sqrt[]{81+1} \\ =\sqrt[]{82} \end{gathered}[/tex]

So distance of the line is,

[tex]\sqrt[]{82}[/tex]