Question

find K, if PQ || RS and P(2,4) , Q(3,6) , R(3,1) , S(5,k)

Answer 1

Answer:

k=5

Step-by-step explanation:

Given P(2,4)  Q(3,6) R(3,1) S(5,K)

PQ ll RS

SO

Slope of PQ=Slope of RS

6-4/3-2=K-1/5-3

2/1=K-1/2

K-1=4

K=5

Answer 2

SOLUTION:

The slopes of parallel lines are equal.

Therefore,

slope of line PQ = slope of line RS

y2 – y1/x2 – x1 = y2 – y1/x2 – x1 .......(formula)

6–4/3-2 = k-1/5-3

2/1 = k-1/2

4 = k-1

k = 4+1

k = 5

ANSWER : K = 5