The length of segment MN rounded to the nearest tenth is 6.7 units.
The distance formula used in finding the distance between two points is expressed as;
D = √( (x₂-x₁)² + (y₂-y₁)² )
Given the data in the question;
Point N(-1, 2)
Point M(-4,-4)
Plug these values into the above equation.
D = √( (x₂-x₁)² + (y₂-y₁)² )
D = √( ( (-4) - (-1))² + ( (-4) - 2)² )
D = √( ( -4 + 1 )² + ( -4 - 2)² )
D = √( ( -3 )² + ( -6 )² )
D = √( 9 + 36 )
D = √45
D = 3√5
D = 6.7 units
Therefore, the length of segment MN rounded to the nearest tenth is 6.7 units.
Learn more about distance formula here: https://brainly.com/question/28280765
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