The length of a line segment whose endpoints are [tex](4,7)[/tex] and [tex](-3,5)[/tex] is [tex]7[/tex].
What is line segment ?
Line segment is a part of a line which has two distinct end points, and contains every point on the line that is between its endpoints.
To find the length of line segment:
Distance Formula [tex]=\sqrt{({x_{2} -x_{1})^2 } +(y_{2}- y_{1})^2 )}[/tex]
We have,
[tex]x_{1}=4[/tex]
[tex]x_{2}=(-3)[/tex]
[tex]y_{1}=7[/tex]
[tex]y_{2}=5[/tex]
So, using above given formula,
Distance [tex]= \sqrt{(-3-4)^2 + (5-7)^2}[/tex]
[tex]= \sqrt{49+4} =\sqrt{53}[/tex]
[tex]=7.28=7[/tex]
So, the length of line segment is [tex]7[/tex] .
Hence, we can say that the length of a line segment whose endpoints are [tex](4,7)[/tex] and [tex](-3,5[/tex]) is [tex]7[/tex].
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