In the coordinate plane, what is the length of the line segment that connects points at (0, −1) and (−7, −2) ? Enter your answer in the box. Round to the nearest hundredth.

Question

asked May 16, 2018 20.5k views

2 Answers

Tzwickl · Answer 1 · 2018-05-20T19:13:33+0000

Answer: The length of the line segment = 7.07 units.

Step-by-step explanation:

Since we have given that

there are two coordinate points :

$(0,-1)\ and\ (-7,-2)$

Now, we need to find the length of the line segment that connects the above mentioned points,

For this, we will use "Distance formula" which is given by:

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

So, here,

$x_1=0\\\\x_2=-7\\\\y_1=-1\\\\y_2=-2$

Now, put the value in the above formula:

$Distance=√((-7-0)^2+(-2+1)^2)\\\\Distance=√(49+1)\\\\Distance=√(50)\\\\Distance=5√(2)=7.07$

Hence, the length of the line segment = 7.07 units.