Answer :

theleangreenbean

Key Ideas

  • Distance equation for line segments

Solving the Question

We're given:

  • B(8, -7)
  • C(-4,-2)
  • Find BC

We can use the distance equation to help us solve this question:

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

  • [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints of the line segment

Plug in the given points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(8-(-4))^2+(-7-(-2))^2}\\d=\sqrt{(8+4)^2+(-7+2)^2}\\d=\sqrt{(12)^2+(-5)^2}\\d=\sqrt{144+25}\\d=\sqrt{169}\\d=13[/tex]

Answer

The length of line segment BC is 13 units.

akposevictor

Using the distance formula, the length of BC is: 13 units.

How to Apply the Distance Formula?

Given that:

B(8, -7) = (x1, y1)

C(-4,-2) = (x2, y2)

The distance formula that would be used to find BC is, d =[tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Thus, applying the distance formula, we have:

BC = √[(−4 − 8)² + (−2 − (−7))²]

BC = √[(−12)² + (5)²]

BC = √(144 + 25)

BC = √169

BC = 13 units

Therefore, using the distance formula, the length of BC is: 13 units.

Learn more about the distance formula on:

https://brainly.com/question/661229

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