Question

Find the length of each line segment, PLEASE HELP

Answer 1

Step-by-step explanation:

the graphic shows us - the 2 end points are :

(-4, -4) and (4, -1)

the distance between these 2 points (= length of the line segment) is calculated via Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse and the distance between the 2 points. a and b are the legs of the triangle enclosing the 90 degree angle, as they are the differences between the x and the y coordinates of the points.

so,

distance² = (-4 - 4)² + (-4 - -1)² = (-8)² + (-3)² = 64 + 9 = 73

distance = sqrt(73) = length of line segment.