Question

The lines px + 5y + 7 = 0 and 2y = 5x - 6 are perpendicular to ach other. Find p.

Answer 1

Slope of px + 5y + 7 = 0 is `(-"p")/5`

Slope of 2y = 5x - 6 is `5/2`

Since the lines are given perpendicular to each other, the product of their slopes must be equal to -1.

`(-"p")/5 xx 5/2` = -1

`therefore` p = 2