Question

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

Answer 1

Answer:

23 units

Step-by-step explanation:

Use the distance formula: d = $\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

Plug in the 2 points:

d = $\sqrt{(-12 - 11)^2 + (-4 + 4)^2}$

d = $\sqrt{529}$

d = 23

So, the distance is 23 units

Answer 2

Answer:

length of the line segment =23

Step-by-step explanation:

$(11, −4) = (x_1 , y_1) \\ (−12, −4) = (x_2 , y_2) \\ d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} }$

Plug in the values into the equation

$d = \sqrt{( - 12 - 11)^{2} + ( - 4 - ( - 4)^{2} }$

Simply :

-12-11=- -23

-4(-4) = -4+4=0

$d = \sqrt{( - 23)^{2} + {(0)}^{2} } \\ d = \sqrt{529 + 0} \\ d = \sqrt{529} \\ d = 23$