Question

whats the distance between (-4, 6) and (3, -7)

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{218} \: \: units}}}}}$

Step-by-step explanation:

Let the points be A and B

Let A ( -4 , 6 ) be ( x₁ , y₁ ) and B ( 3 , -7 ) be ( x₂ , y₂ )

Finding the distance between these two points

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

$\dashrightarrow{ \sf{ \sqrt{ {(3 - ( - 4))}^{2} + { (- 7 - 6)}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{ {(3 + 4)}^{2} + {( - 7 - 6)}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{ {7}^{2} + {13}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{49 + 169} }}$

$\dashrightarrow{ \sf{ \sqrt{218}}}$ units

Hope I helped!

Best regards! :D