Question

What is the distance
between (-6, -2) and (2, 4)?

Answer 1

10

Explanation:

distance = √(-6-2)^2+(-2-4)^2

Ans=10

Answer 2

`\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\`

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`\large \purple{ \rm{Given ↦}} \\`

• A ( -6 , -2 ) ↦ ( x1 , y1 )
• B ( 2 , 4 ) ↦ ( x2 , y2 )

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`\large \purple{ \rm{By \: DISTANCE \: FORMULA ↦}} \\ \\ \rm{AB =\sqrt{( x2-x1)^(2) +(y2-y1) ^(2) }}`

`\rule{60mm}{2.2pt}`

Substituting values ↦

`\bold {AB= \sqrt{( - 6 - 2 )^(2) + ( - 2 - 4) ^(2)} } \\ \\ \bold {AB= \sqrt{( - 8) ^(2) + ( - 6) ^(2) }} \\ \\ \bold {AB= \sqrt {(64) + (36)} } \\ \\ \bold {AB= √((100))} \\ \\ \bold {AB= 10 \: units.}`

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