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Question
Find the equation of the line: having an inclination 60° and making intercept 4 on the Y-axis.
Solution
Given, Inclination of line = θ = 60°
∴ slope of the line (m) = tan θ = tan 60° = `sqrt(3)` and the y-intercept of the required line is 4.
∴ it passes through (0, 4).
Equation of the line in slope point form is
y – y1 = m(x – x1)
∴ the equation of the required line is
y – 4 = `sqrt(3)(x - 0)`
∴ y – 4 = `sqrt(3)x`
∴ `sqrt(3)x - y + 4` = 0.
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