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Question
If the lines y = 3x + 7 and 2y + px = 3 are perpendicular to each other, find the value of p.
Solution
y = 3x + 7
Slope of this line = 3
2y + px = 3
2y = −px + 3
`y = -(px)/2 + 3/2`
Slope of this line = `-p/2`
Since, the lines are perpendicular to each other, the product of their slopes is –1.
∴ `(3)(-p/2) = -1`
`(-3p)/2 = -1`
`p = 2/3`
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