Question

What is the distance between the points (-3,-2) and (-3,6)?
answer : ??????​

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{8 \: units}}}}}`

Explanation:

Let the points be A and B

Let A ( - 3 , -2 ) be ( x₁ , y₁ ) and B ( -3 , 6 ) be ( x₂ , y₂ )

Finding the distance between these points

`\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) } }}`

`\longrightarrow{ \sf{ \sqrt{ {( - 3 - ( - 3))}^(2) + {( 6 - ( - 2))}^(2) } }}`

`\longrightarrow{ \sf{ \sqrt{ {( - 3 + 3)}^(2) + {(6 + 2)}^(2) } }}`

`\longrightarrow{ \sf{ \sqrt{ {(0)}^(2) + {(8) }^(2) } }}`

`\longrightarrow{ \sf{ √(0 + 64)}}`

`\longrightarrow{ \sf{ √(64)}}`

`\longrightarrow{ \sf{ \sqrt{ {8}^(2) } }}`

`\longrightarrow{ \sf{8 \: \: units}}`

Hope I helped!

Best regards! :D