Question

In the coordinate plane, what is the length of the line segment that connects points at 0, -1 and. -7, -2

Answer 1

In the coordinate plane, the length of the line segment that connects points at (0, -1) and (-7, -2) is 7.07 units.

Step-by-step explanation:

Here we have ,in coordinate plane we are given two points (0,-1 ) & ( -7,-2 ).

From Straight line concept, we know that Distance between any two pints in a plane i.e distance between points $( x1, y1)$ and $(x2,y2)$ is given by:

$D = \sqrt{(x_1 - x_2)^{2} + ( y_1-y_2)^{2}}$ , Here $( x_1, y_1)$  = $( 0 , -1)$ and $(x_2,y_2)$ = $(-7,-2)$

Putting values in above formula we get:

⇒$D = \sqrt{(x_1 - x_2)^{2} + ( y_1-y_2)^{2}}$

⇒$D = \sqrt{(0 - (-7))^{2} + ( -1-(-2))^{2}}$

⇒$D = \sqrt{7^{2} + 1^{2}}$

$D = \sqrt{50} units$ = $7.07 units$

∴In the coordinate plane, the length of the line segment that connects points at 0, -1 and. -7, -2 is $7.07 units$.