Question

In the coordinate plane, what is the length of the line segment that connects points at (5, 4) and (−3, −1)?

Enter your answer in the box. Round to the nearest hundredth.

___units

Answer 1

Answer:

9

Step-by-step explanation:

Using the distance formula

You will get the answer as 9.433

Round it off and that's your answer

Answer 2

Let  the points be

• A (5, 4) and
• B (-3, -1)

For finding the length of the line segment between 2 coordinates, we need to apply 'Distance formula'.

$\\\\\bf{AB = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}}$

$\hookrightarrow \: \sf{AB = \sqrt{(-3-5)^{2} + (-1-4)^{2}} }$

$\dashrightarrow \: \: \sf{AB = \sqrt{(-8)^{2}+(-5)^{2}}}$

$\dashrightarrow \: \: \sf{AB = \sqrt{64+25}}$

$\dashrightarrow \: \: \sf{AB = \sqrt{89}}$

∴ AB = √89 = 9.43 units

KNOW MORE:

1. When the question says that a point divides 2 other points in the same ratio, then we must apply Section formula.
2. When the question says that a point is the midpoint of other 2 coordinates, then we must apply Midpoint Formula.