Question

Find the distance between (-8,-2) and (6,-1)

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{197} \: \: units}}}}}$

Step-by-step explanation:

Let the points be A and B

Let A ( -8 , -2 ) be ( x₁ , y₁ ) and B ( 6 , - 1 ) be ( x₂ , y₂ )

Finding the distance between these points

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

$\dashrightarrow{ \sf{ \sqrt{ {(6 - ( - 8))}^{2} + {( - 1 - ( - 2))}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{ {(6 + 8)}^{2} + {( - 1 + 2)}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{ {(14)}^{2} + {(1)}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{196 + 1}}}$

$\dashrightarrow{ \boxed{ \sf{ \sqrt{197 \:} \: units}}}$

Hope I helped!

Best regards! :D