Question

find the distance between the points (2,5)and(-4,6)

Answer 1

Using the Distance formula,

☆ x1= 2, y1= 5

☆ x2= -4, y2= 6

Answer can be found using this formula.

HOPE IT HELPS! ^_^

Answer 2

$\huge \underline \mathfrak {Solution:-}$

We have to find out the distance between the two points (2,5) and (-4,6).

For finding the distance between two points we can use the given formula.

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

This formula is used to find out the distance between two points and that's why it is named as distance formula.

According to question,

$x_1 = 2 \\ \\ x_2 = -4 \\ \\ y_1 = 5\\ \\ y_2 = 6$

Now,

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

$= \sqrt{ {(2-(-4))}^{2} + {( 5-6)}^{2} } \\ \\ = \sqrt{ {( 2+4)}^{2} + { (-1)}^{2} } \\ \\ = \sqrt{ {6}^{2} + {1}^{2} } \\ \\ = \sqrt{37} \: units$

So, the distance between the points is √37 units.