point M is locted at (-4,3) and point N is located at (-2,11).find the line segment of MN.
MN = √( (11-3)^2 + (-2+4)^2 )
= √(64 + 4)
= √68 or 2√17
To find the line segment MN, we need to calculate the distance between points M(-4, 3) and N(-2, 11). We can use the distance formula, which is derived from the Pythagorean theorem. The formula for finding the distance between two points (x₁, y₁) and (x₂, y₂) is:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Let's substitute the coordinates of the points into the formula:
Distance = √[(-2 - (-4))² + (11 - 3)²]
= √[(2)² + (8)²]
= √[4 + 64]
= √68
= 2√17
So, the line segment MN is equal to 2√17 units.