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Use the distance formula to determine the distance between (-8,10) and (-6,7)

User Yugi
by
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1 Answer

3 votes

Answer:

Distance:
√(13) units

Explanation:

The distance formula is
d=√((x_2-x_1)^2+(y_2-y_1)^2) where:


  • d is the distance between points
    (x_1,y_1) and
    (x_2,y_2)

  • (x_1,y_1) are the coordinates of the first point

  • (x_2,y_2) are the coordinates of the second point

We are given that:


  • (x_1,y_1)=(-8,10)

  • (x_2,y_2)=(-6,7)

To determine the value of our distance,
d, we plug in our given information into the formula and solve for


d=√((x_2-x_1)^2+(y_2-y_1)^2)


d=√((-6-(-8))^2+(7-10)^2)


d=√((-6+8)^2+(-3)^2)


d=√((2)^2+(-3)^2)


d=√(4+9)


d=√(13)

Therefore, the distance between
(-8,10) and
(-6,7) is
√(13) units.

See the attached graph for a visual.

Use the distance formula to determine the distance between (-8,10) and (-6,7)-example-1
User Dongminator
by
8.5k points

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