Question

What is the distance between the following points

Choose 1 answer:
√63
√77
√79
√85

Answer 1

Check the picture below.

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{9})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~7 - (-2)~~)^2 + (~~9 - 7~~)^2) \implies d=√((7 +2)^2 + (9 -7)^2) \\\\\\ d=√(( 9 )^2 + ( 2 )^2) \implies d=√( 81 + 4 ) \implies d=√( 85 )`

Answer 2

Root 85 I think bc 9^2 + 2^2 = 85 and square root of that is hypotenuse which is line