What is the approximate length of line MN when the coordinates of its end points are (-4,5) and (-6,9)?

follow this example

http://www.algebra.com/algebra/homework/Length-and-distance/Length-and-distance.faq.question.97277.html

To find the length of a line segment, you can use the distance formula, which is derived from the Pythagorean theorem in coordinate geometry.

The distance formula is:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the endpoints are:
Point M: (-4, 5)
Point N: (-6, 9)

Using the distance formula, we can calculate the length of line MN as follows:

Distance = sqrt((-6 - (-4))^2 + (9 - 5)^2)
= sqrt((-6 + 4)^2 + (9 - 5)^2)
= sqrt((-2)^2 + 4^2)
= sqrt(4 + 16)
= sqrt(20)
≈ 4.47

Therefore, the approximate length of the line MN is approximately 4.47 units.