Question

Line L1 passes through points P(n,4) and Q(1,-2). Line L2 passes through R(4,3) and S(1,5). What is the value of n if the lines are parallel *Note please show how you solve N and explain*

Answer 1

Answer:

n = -8

Step-by-step explanation:

For two lines to be parallel, they must have the same slope

Get the slope of each line

For L1;

m1 = -2-4/1-n

m1 = -6/1-n

For L2;

m2 = 5-3/1-4

m2 = 2/-3

m2 = -2/3

Since they have the same slope, m1 = m2

-6/1-n = -2/3

6/1-n = 2/3

Cross multiply

2(1-n) = 6(3)

2-2n = 18

-2n = 18 - 2

-2n = 16

n = -16/2

n = -8

Hence the value of n is -8