Question

Distance between the points P( 5, -8) and Q( -7 ,-3) is... *

Answer 1

Answer:

13

Step-by-step explanation:

Formula is d=√((x_2-x_1)²+(y_2-y_1)²)

x_1=5,x_2=-7,y_1=-8,y_2=-3

d=√((-7-5)²+(-3-(-8))²)

=√((-12)²+(5)²)

=√(144+25)=√169=13

Answer 2

Given points :

P(5, -8)

Q(-7, -3)

Using the distance formula :

$\pink{ \sf \longrightarrow d = \sqrt{({x}_{2}- {x}_{1} {)}^{2} +( {y}_{2} - {y}_{1} {)}^{2} }}$

Here,

$\sf \to x_1= 5 \\ \sf \to x_2 = -7 \\ \sf \to y_1 = -8 \\ \sf \to y_2 = -3$

$\sf \longrightarrow d = \sqrt { \{( - 7) - { 5\}}^{2} + { \{ ( - 3) - ( - 8)\}}^{2} }$

$\sf \longrightarrow d = \sqrt{ \{ - 7 - 5 { \}}^{2} + \{ - 3 + 8 { \}}^{2} }$

$\sf \longrightarrow d = \sqrt{( - 1 {2}^{2}) +( {5}^{2}) }$

$\sf \longrightarrow d = \sqrt{144 + 25}$

$\sf \longrightarrow d = \sqrt{169}$

$\sf \longrightarrow d = 13units$

${ \underline{ \sf{ \therefore{The \: distance \: between \: the \:points \: P(5, - 8) \: and \: Q( - 7 , - 3) \: is \: 13 \: units}}}}$

Note behind :

• While using the distance formula the $x_1$ and $x_2$ represents the coordinates of the first point.
• And also the $y_1$ and $y_2$ represents the coordinates of the second point.