What is the exact distance from (-4, -2) to (4, 6)?

Solution:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the relationship:

Distance between the two points = √[(x₂-x₁)² +(y₂-y₁)²]

= √[(4-(-4))² +(6-(-2))²]

= √[(4+4))² +(6+2))²]

= √[8² +8²]

= √[64 +64]

=√128

= 8√2

What is the exact distance from (-4, -2) to (4, 6)?

Summary:

The distance between the points (-4, -2) and (4, 6) is 8√2.