Question

P(-1/2,3),Q(6,-2),R(3,4) are collinear Sollution​

Answer 1

Answer:

yes it is colinear solution

Answer 2

Step-by-step explanation:

P(-1/2,3)

Q(6,-2)

R(3,4)

To find

$PR = PQ + QR$

By using distance formula

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

$PR = \sqrt{ { ( - \frac{1}{2} - 3 ) }^{2} + { ( 3 - 4 ) }^{2}}$

$PR = \sqrt{ ({ \frac{- 1 - 6}{2}) }^{2} + {( - 1)}^{2} }$

$PR = \sqrt{ ({ \frac{- 7}{2}) }^{2} + {( - 1)}^{2} }$

$PR = \sqrt{ \frac{49}{4} + 1}$

$PR = \sqrt{ \frac{49 + 4}{4} }$

$PR = \sqrt{ \frac{53}{4} }$

$PR = \frac{ \sqrt{53} }{2}$