The length of the line segment is 7.3 units
Explanation:
Given that the line segment joining the points at (4,5) and (6,-2)
We need to determine the length of the line segment.
Length of the line segment:
The length of the line segment can be determined using the formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting the coordinates (4,5) and (6,-2), we get,
[tex]d=\sqrt{(6-4)^2+(-2-5)^2}[/tex]
Simplifying, we have,
[tex]d=\sqrt{(2)^2+(-7)^2}[/tex]
[tex]d=\sqrt{4+49}[/tex]
[tex]d=\sqrt{53}[/tex]
[tex]d=7.28[/tex]
Rounding off to the nearest tenth, we get,
[tex]d=7.3[/tex]
Thus, the length of the line segment is 7.3 units.
