Question

What is the length of the line segment with endpoints (11, −4) and (−12, −4)?

Answer 1

Answer:Length of the line segment =23

Step-by-step explanation:

Given points: (11,-4) and (-12,-4)

Distance between two points is given by the distance formula

i.e. D=√$(x2-x1)^{2}+(y2-y1)^{2}$

x1=11, y1=-4

x2=-12, y2=-4

Length of the given segment=√((-12-11)²+(-4-(-4))²)

D=-√((-23)²+0²)

D=√529

D=±23

D=23     [Since D can't be negative]

Answer 2

Use distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
(11,-4) is (x1,y1) and (-12,-4) is (x2,y2)
Plug in and simplify
d = sqrt((-12 - 11)^2 + (-4 - -4)^2)
d = sqrt((-23)^2 + (0)^2)
d = sqrt(529 + 0)
d = sqrt(529)
d = 23 (positive because length cannot be negative)