Question

What is the distance between the points (3,-2) and (-4, 1)?

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{58} \: \: units}}}}}$

Step-by-step explanation:

Let the points be A and B

Let A ( 3 , -2 ) be ( x₁ , y₁ ) and B ( -4 , 1 ) be ( x₂ , y₂ )

Finding the distance between these points

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

$\dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^{2} + {(1 - ( - 2))}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^{2} + {(1 + 2)}^{2} } }}$

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

$\dashrightarrow{ \sf{ \sqrt{49 + 9}}}$

$\dashrightarrow{ \sf{ \sqrt{58} }}$ units

Hope I helped!

Best regards! :D