Question

What is the length of the line segment with endpoints (7,-1) and (-3,5)?

Answer 1

Formula to find the length of two endpoints: $\sqrt{(x^2-x^1)^2+(y^2-y^1)^2}$

Now, solve with the given endpoints.

$\sqrt{(x^2-x^1)^2+(y^2-y^1)^2} \\\sqrt{(-3-7)^2+(5-(-1))^2} \\\sqrt{(-10)^2 + (6)^2} \\ \sqrt{100+36}\\\sqrt{136}$

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Now, simplify using what we know about radicals.

Solution in picture.

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The length between the endpoints is 2√34 (Option B)

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Best Regards,

Wolfyy :)