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Question
The figure given alongside shows two straight lines AB and CD intersecting each other at point P(3, 4). Find the equations of AB and CD.
Solution
Slope of line AB = tan 45° = 1
The line AB passes through P(3, 4).
So, the equation of the line AB is given by:
y − y1 = m(x − x1)
y − 4 = 1(x − 3)
y − 4 = x − 3
y = x + 1
Slope of line CD = tan 60° = `sqrt(3)`
The line CD passes through P(3, 4).
So, the equation of the line CD is given by:
y − y1 = m(x − x1)
`y - 4 = sqrt(3)(x − 3)`
`y - 4 = sqrt(3)x − 3sqrt(3)`
`y = sqrt(3)x + 4 − 3sqrt(3)`
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