# Find the equation of the line: having an inclination 60 and making intercept 4 on the Y-axis. - Mathematics and Statistics

Sum

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.

Is there an error in this question or solution?

#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 5 Locus and Straight Line
Miscellaneous Exercise 5 | Q 14. (b) | Page 80