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

Step-by-step explanation:

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