The line through

Given: A (h,3) and B (4,1) be the points intersect At right angle at the line 7x – 9y – 19 = 0

To find:

The value of h.

Explanation:

The line 7x − 9y − 19 = 0 can be written as

So, the slope of this line is

It is given that the line joining the points A (h,3) and B (4,1) is perpendicular to the line 7x − 9y − 19 = 0.

⇒ 9h – 36 = -14

⇒ 9h = 22

⇒ h

Hence, the value of h is