We are given the following coordinates of a line segment
[tex](-12,5)\: and\: (-4,-3)[/tex]
Let us find the length of this line segment.
Recall that the distance formula is given by
[tex]d=\sqrt[]{\mleft(x_2-x_1\mright)^2+\mleft(y_2-y_1\mright)^2}[/tex]
Let us substitute the given points into the above distance formula
[tex]\begin{gathered} d=\sqrt[]{(-4_{}-(-12)_{})^2+(-3_{}-5_{})^2} \\ d=\sqrt[]{(-4_{}+12_{})^2+(-3_{}-5_{})^2} \\ d=\sqrt[]{(8_{})^2+(-8_{})^2} \\ d=\sqrt[]{64^{}+64^{}} \\ d=\sqrt[]{128^{}} \end{gathered}[/tex]
Therefore, the length of the line segment is √128
Option B is the correct answer.
