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.
