Question

Find k,if PQ|| RS and P(2,4) ,Q(3,6) ,R(3,1) ,S(5,k) .​

Answer 1

Answer:

P(2,4)=(x1,y1)

Q(3,6)=(x2,y2)

similarly,of R and S.

PQ||RS

slope of PQ=slope of RS. .................................( i )

By slope formula

slope of PQ=

$slope \: \: of PQ= \frac{y2 - y1}{x2- x1}$

=2

Slope of RS=

$Slope \: \: of RS= \frac{k - 1}{2}$

$from \: \: \: (i) \\ 2 = \frac{k - 1}{2 } \\ k - 1 = 4 \\ k = 5$