Question

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.

Answer 1

Answer is 7.07

Hope it helps!

Answer 2

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

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:

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

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