Question

Find the distance between J and K, if J is (2, -2) and K is (2, 5)

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{7 \: units}}}}}`

Explanation:

Let J ( 2 , -2 ) be ( x₁ , y₁ ) and K ( 2 , 5 ) be ( x₂ , y₂ )

Finding the distance between these points

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

`\dashrightarrow{ \sf{ \sqrt{ {(2 - 2)}^(2) + {(5 - ( - 2))}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{ {(0)}^(2) + {(5 + 2)}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{0 + {7}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{ {7}^(2) } }}`

`\dashrightarrow{ \sf{7 \: units}}`

Hope I helped!

Best regards! :D