Question

What is the distance between two points (6,-3) and (8,5)?

A. 6.24 units
B. 8.24 units
C. 7.24 units
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Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{6}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{5})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([8-6]^2+[5-(-3)]^2)\implies d=√((8-6)^2+(5+3)^2) \\\\\\ d=√(2^2+8^2)\implies d=√(68)\implies d\approx 8.24`

Answer 2

B. 8.24 units

Explanation:

the distance between two points is given by

√(x₂₋x₁)²+ (y₂-y₁)²

x₂=8, x₁=6

y₂=5, y₁= -3

√(8-6)² + (5- (-3))²

√2²+ (5 + 3)²

√4 + 8²

√4 + 64

√68 = 8.24 units