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Ulleksa [173]
3 years ago
8

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

Mathematics
1 answer:
QveST [7]3 years ago
8 0

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

<u>Step-by-step explanation:</u>

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.

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