Question

The line through A(-2, 3) and B(4, b) is
perpendicular to the line 2x-4y=5
Find the value of b.​

Answer 1

Answer:

The slope of line AB is

4+2

b−3

=

6

b−3

Again, slope of line 2x−4y=5 is

2

1

Since line AB is perpendicular to 2x−4y=5

m

1

m

2

=−1

⇒

6

b−3

×

2

1

=−1

⇒b−3=−12

⇒b=−9

Hence ∣b∣=9