Question

Find the distance between the points A and B with co-ordinates: A(-2,-3) B (-7,6)

Answer 1

Answer:

Answer is 3,-3

Step-by-step explanation:

Answer 2

Answer:

Distance between point A(-2,-3) and point B(-7,6) is $\sqrt{106}$

Step-by-step explanation:

Distance between two points,

distance between d between $A (x_{1} ,y_{1} )$ and  $B(x_{2} , y_{2} )$ ,

d= $\sqrt{(x_{2} - x_{1}) ^{2} +(y_{2} - y_{1}) ^{2}}$

Now,

We have points A(-2,-3), B(-7,6)

Distance d = $\sqrt{(-7 - (-2)) ^{2} +(6 - (-3)) ^{2}}$

d = $\sqrt{-5^{2} + 9^{2} }$

d = $\sqrt{25 + 81}$

d = $\sqrt{106}$

Final answer,

Distance d between points A(-2,-3) and B(-7,6) is $\sqrt{106}$